Pith Number

pith:WHDAK6KR

pith:2016:WHDAK6KRCAWACO3AR77627L2CJ

not attested not anchored not stored refs pending

Scl in free products

Lvzhou Chen

arxiv:1611.07463 v3 · 2016-11-22 · math.GT · 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{WHDAK6KRCAWACO3AR77627L2CJ}

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	2026-05-18T00:02:36.646586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1c6057951102c013b608fffed7d7a12651394a88314193036b15477bd1d3f3d

Aliases

arxiv: 1611.07463 · arxiv_version: 1611.07463v3 · doi: 10.48550/arxiv.1611.07463 · pith_short_12: WHDAK6KRCAWA · pith_short_16: WHDAK6KRCAWACO3A · pith_short_8: WHDAK6KR

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/WHDAK6KRCAWACO3AR77627L2CJ \
  | 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: b1c6057951102c013b608fffed7d7a12651394a88314193036b15477bd1d3f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da774443ecbc46faee398ddd30c45f04a8e7b0dcd531e610a2929bbac4c83d09",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-11-22T19:05:24Z",
    "title_canon_sha256": "cf3e6bd1b738d822ad5b0f93671ed25565527f17acf7f5f985f1f69da94e00e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07463",
    "kind": "arxiv",
    "version": 3
  }
}