Pith Number

pith:ZECZT4WP

pith:2018:ZECZT4WPR3NUJIJUAFVBVUF5YN

not attested not anchored not stored refs pending

On abstract commensurators of surface groups

Daniel Studenmund, Khalid Bou-Rabee

arxiv:1810.11909 v3 · 2018-10-29 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZECZT4WPR3NUJIJUAFVBVUF5YN}

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.

Receipt and verification

First computed	2026-05-17T23:40:17.841701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c90599f2cf8edb44a134016a1ad0bdc3519821a7115bdc7946790854d21b8c45

Aliases

arxiv: 1810.11909 · arxiv_version: 1810.11909v3 · doi: 10.48550/arxiv.1810.11909 · pith_short_12: ZECZT4WPR3NU · pith_short_16: ZECZT4WPR3NUJIJU · pith_short_8: ZECZT4WP

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/ZECZT4WPR3NUJIJUAFVBVUF5YN \
  | 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: c90599f2cf8edb44a134016a1ad0bdc3519821a7115bdc7946790854d21b8c45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eceefbdac9e95283385a88add482fcd3ad22c819aaacbb3b9042741d2a04b5e1",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-10-29T00:11:46Z",
    "title_canon_sha256": "b0aaf88ccde6fb8220066dc7e1c450980c3adcdef9b4e38c0b631ae120900c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11909",
    "kind": "arxiv",
    "version": 3
  }
}