Pith Number

pith:Z3ZF5TSB

pith:2013:Z3ZF5TSBF45H6F7TTER5EYQMJC

not attested not anchored not stored refs pending

Equivariant compression of certain direct limit groups and amalgamated free products

Chris Cave, Dennis Dreesen

arxiv:1309.4636 v3 · 2013-09-18 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3ZF5TSBF45H6F7TTER5EYQMJC}

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	2026-05-18T01:21:14.021949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef25ece412f3a7f17f39923d2620c4892a3659138aba9fea4e3afa3568c7112

Aliases

arxiv: 1309.4636 · arxiv_version: 1309.4636v3 · doi: 10.48550/arxiv.1309.4636 · pith_short_12: Z3ZF5TSBF45H · pith_short_16: Z3ZF5TSBF45H6F7T · pith_short_8: Z3ZF5TSB

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/Z3ZF5TSBF45H6F7TTER5EYQMJC \
  | 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: cef25ece412f3a7f17f39923d2620c4892a3659138aba9fea4e3afa3568c7112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6245b027668d0ed7b8f3d81d05791f7b11cbd294525121502601927e087b081a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-18T13:06:33Z",
    "title_canon_sha256": "e21532c263de31e7193df7323a45f1eefe128a263c18ca8d0b4867402d9f5db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4636",
    "kind": "arxiv",
    "version": 3
  }
}