Pith Number

pith:2TJHBUPC

pith:2013:2TJHBUPCEXTTHGYOLJJE4VR5W7

not attested not anchored not stored refs pending

Big Free Groups are Almost Free

Tamer Tlas

arxiv:1312.4750 v2 · 2013-12-17 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TJHBUPCEXTTHGYOLJJE4VR5W7}

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	2026-05-18T01:53:09.612917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4d270d1e225e7339b0e5a524e563db7de7566ee1b85e7431a18398b75b73682

Aliases

arxiv: 1312.4750 · arxiv_version: 1312.4750v2 · doi: 10.48550/arxiv.1312.4750 · pith_short_12: 2TJHBUPCEXTT · pith_short_16: 2TJHBUPCEXTTHGYO · pith_short_8: 2TJHBUPC

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/2TJHBUPCEXTTHGYOLJJE4VR5W7 \
  | 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: d4d270d1e225e7339b0e5a524e563db7de7566ee1b85e7431a18398b75b73682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fbb4429c467312221e4b1be881df0483ff9baf29eec21eb2cd0e555c667c760",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-17T12:39:35Z",
    "title_canon_sha256": "085ee890b35733daa92cfac3c22524174f8e2173f556e715c70a085ea7518224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4750",
    "kind": "arxiv",
    "version": 2
  }
}