Pith Number

pith:A35OQISL

pith:2011:A35OQISLSZFINWGLNN3TYCVVIW

not attested not anchored not stored refs pending

Automorphisms of path coalgebras and applications

Yu Ye

arxiv:1109.2986 v2 · 2011-09-14 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A35OQISLSZFINWGLNN3TYCVVIW}

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	2026-05-18T04:09:46.735689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06fae8224b964a86d8cb6b773c0ab5459b291e01059f335b2f0850c9630fa62f

Aliases

arxiv: 1109.2986 · arxiv_version: 1109.2986v2 · doi: 10.48550/arxiv.1109.2986 · pith_short_12: A35OQISLSZFI · pith_short_16: A35OQISLSZFINWGL · pith_short_8: A35OQISL

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/A35OQISLSZFINWGLNN3TYCVVIW \
  | 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: 06fae8224b964a86d8cb6b773c0ab5459b291e01059f335b2f0850c9630fa62f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b97528c33d554fd7d03007c11c3386a60c860f7f9a28d122355de80eec7f3de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-09-14T03:56:43Z",
    "title_canon_sha256": "161b6d2900dfdb9cd47e0104fcba81d2d480342c6bf66440913c0bdf6b6922d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2986",
    "kind": "arxiv",
    "version": 2
  }
}