Pith Number

pith:YESI4RUK

pith:2015:YESI4RUK2HJXBTBXVSFHFSXDUM

not attested not anchored not stored refs pending

Algebraic properties of G-groupoids

Mihai Ivan

arxiv:1512.09012 v1 · 2015-12-30 · 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{YESI4RUK2HJXBTBXVSFHFSXDUM}

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	2026-05-18T01:23:34.211972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1248e468ad1d370cc37ac8a72cae3a30e3095509d9cf13bced2d9acc22a9182

Aliases

arxiv: 1512.09012 · arxiv_version: 1512.09012v1 · doi: 10.48550/arxiv.1512.09012 · pith_short_12: YESI4RUK2HJX · pith_short_16: YESI4RUK2HJXBTBX · pith_short_8: YESI4RUK

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/YESI4RUK2HJXBTBXVSFHFSXDUM \
  | 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: c1248e468ad1d370cc37ac8a72cae3a30e3095509d9cf13bced2d9acc22a9182

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d9c416a421d8908c7309d54739063ec0ee77f8c2568e13a19d07c5b49b66b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-30T16:56:21Z",
    "title_canon_sha256": "8f01f5bee0fb1a2cd695d37e158061acb87eef078862eca2d73dbb29c8a73909"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09012",
    "kind": "arxiv",
    "version": 1
  }
}