Pith Number

pith:VG4F67WF

pith:2017:VG4F67WFUF3ZDFBUG2I45FMX7J

not attested not anchored not stored refs pending

Weak group inverse

Hongxing Wang, Jianlong Chen

arxiv:1704.08403 v1 · 2017-04-27 · 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{VG4F67WFUF3ZDFBUG2I45FMX7J}

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	2026-05-18T00:45:27.768976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9b85f7ec5a1779194343691ce9597fa783d95c0908a9713dc6ce69a554d0ec6

Aliases

arxiv: 1704.08403 · arxiv_version: 1704.08403v1 · doi: 10.48550/arxiv.1704.08403 · pith_short_12: VG4F67WFUF3Z · pith_short_16: VG4F67WFUF3ZDFBU · pith_short_8: VG4F67WF

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/VG4F67WFUF3ZDFBUG2I45FMX7J \
  | 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: a9b85f7ec5a1779194343691ce9597fa783d95c0908a9713dc6ce69a554d0ec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f67f186b2cfb00f01ba7ec81572b25d18fb3631daf82367af7b89e867c5ace",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-04-27T01:29:45Z",
    "title_canon_sha256": "d7d86facba9f77ef9063e7e15aefd824bde3830663d0674e39721e190062d316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08403",
    "kind": "arxiv",
    "version": 1
  }
}