Pith Number

pith:ZXLE6DXM

pith:2019:ZXLE6DXMNKAT7VNHQZKDEKZFTL

not attested not anchored not stored refs pending

Matrix Group Integrals, Surfaces, and Mapping Class Groups II: $\mathrm{O}\left(n\right)$ and $\mathrm{Sp}\left(n\right)$

Doron Puder, Michael Magee

arxiv:1904.13106 v3 · 2019-04-30 · math.GT · math-ph · math.GR · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXLE6DXMNKAT7VNHQZKDEKZFTL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Some Orbits of Free Words that are Determined by Measures on Finite Groups

Receipt and verification

First computed	2026-07-05T05:28:03.578951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdd64f0eec6a813fd5a78654322b259afeba2180226dd77dd02cb6914e2f773d

Aliases

arxiv: 1904.13106 · arxiv_version: 1904.13106v3 · doi: 10.48550/arxiv.1904.13106 · pith_short_12: ZXLE6DXMNKAT · pith_short_16: ZXLE6DXMNKAT7VNH · pith_short_8: ZXLE6DXM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZXLE6DXMNKAT7VNHQZKDEKZFTL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cdd64f0eec6a813fd5a78654322b259afeba2180226dd77dd02cb6914e2f773d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbbd70617ed48bfc9039e10a0f88f0b550abaa677da86cf3770e658ceaba6658",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-04-30T08:56:47Z",
    "title_canon_sha256": "78aa94d03d32a40803fc8b899f103f6cb9215f8962913a360b8d1b23288ec622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.13106",
    "kind": "arxiv",
    "version": 3
  }
}