Pith Number

pith:3DRGLJXP

pith:2010:3DRGLJXPBP3BSD3MZZOWOKPYCU

not attested not anchored not stored refs pending

Nondiscrete P-Groups Can be Reflexive

Jorge Galindo, Luis Recoder-Nu\~nez, Mikhail Tkachenko

arxiv:1002.4730 v1 · 2010-02-25 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DRGLJXPBP3BSD3MZZOWOKPYCU}

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	2026-05-18T01:19:55.929570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8e265a6ef0bf6190f6cce5d6729f8151b8c0d7fb8eb9a9b330ecd63331ad563

Aliases

arxiv: 1002.4730 · arxiv_version: 1002.4730v1 · doi: 10.48550/arxiv.1002.4730 · pith_short_12: 3DRGLJXPBP3B · pith_short_16: 3DRGLJXPBP3BSD3M · pith_short_8: 3DRGLJXP

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/3DRGLJXPBP3BSD3MZZOWOKPYCU \
  | 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: d8e265a6ef0bf6190f6cce5d6729f8151b8c0d7fb8eb9a9b330ecd63331ad563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec7d61cadccb56103ff5a0ea3dadb4fd80b6497b73d2b94717b0b603bae96e06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-02-25T09:59:45Z",
    "title_canon_sha256": "19182779f84427052c3d4ca8958ff9ed7f6ff83515a4f5f613057d34c5959744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4730",
    "kind": "arxiv",
    "version": 1
  }
}