Pith Number

pith:P62RIV2Y

pith:2022:P62RIV2Y72FAT3DV5HSBEBUAEP

not attested not anchored not stored refs pending

Extending structures for Gel'fand-Dorfman bialgebras

Jiajia Wen, Yanyong Hong

arxiv:2202.10674 v1 · 2022-02-22 · 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{P62RIV2Y72FAT3DV5HSBEBUAEP}

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	2026-07-05T03:59:07.153705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fb5145758fe8a09ec75e9e412068023d93896ce472e70ebb1a353b6240dccaf

Aliases

arxiv: 2202.10674 · arxiv_version: 2202.10674v1 · doi: 10.48550/arxiv.2202.10674 · pith_short_12: P62RIV2Y72FA · pith_short_16: P62RIV2Y72FAT3DV · pith_short_8: P62RIV2Y

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/P62RIV2Y72FAT3DV5HSBEBUAEP \
  | 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: 7fb5145758fe8a09ec75e9e412068023d93896ce472e70ebb1a353b6240dccaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ba69d07e8b94feac00df0b909df6d35a5f3878a22e4f5bd7d97e97f3536c489",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2022-02-22T05:20:58Z",
    "title_canon_sha256": "aa2ae3b140d954e057e7e8abb97d6541c9d7767a8a71b44019be1e14c975f5ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.10674",
    "kind": "arxiv",
    "version": 1
  }
}