Pith Number

pith:TQEJFHNU

pith:2002:TQEJFHNUHDAC7VKTDYFUTHF727

not attested not anchored not stored refs pending

Group splittings and asymptotic topology

Panos Papasoglu

arxiv:math/0201312 v1 · 2002-01-31 · 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{TQEJFHNUHDAC7VKTDYFUTHF727}

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	2026-05-18T01:05:29.795340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c08929db438c02fd5531e0b499cbfd7fda95ed8f1a835384b529f659ddfb2a8

Aliases

arxiv: math/0201312 · arxiv_version: math/0201312v1 · doi: 10.48550/arxiv.math/0201312 · pith_short_12: TQEJFHNUHDAC · pith_short_16: TQEJFHNUHDAC7VKT · pith_short_8: TQEJFHNU

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/TQEJFHNUHDAC7VKTDYFUTHF727 \
  | 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: 9c08929db438c02fd5531e0b499cbfd7fda95ed8f1a835384b529f659ddfb2a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc9b886d95f31457a60710018cc34c1f395ddc2252c9921601fd3ba5673da44c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2002-01-31T12:05:50Z",
    "title_canon_sha256": "f57808da8fdf203b464dc62c9104435cb4f44f0de4383e1cb0a16507eef207dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201312",
    "kind": "arxiv",
    "version": 1
  }
}