Pith Number

pith:HUGTCIL5

pith:2014:HUGTCIL5PKWZJYLWOFKQYFB27L

not attested not anchored not stored refs pending

Actions of mapping class groups

Athanase Papadopoulos (IRMA)

arxiv:1407.5755 v1 · 2014-07-22 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUGTCIL5PKWZJYLWOFKQYFB27L}

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	2026-05-18T02:47:06.692342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d0d31217d7aad94e17671550c143afac40707047960c28dc0a2af7e89d306b7

Aliases

arxiv: 1407.5755 · arxiv_version: 1407.5755v1 · doi: 10.48550/arxiv.1407.5755 · pith_short_12: HUGTCIL5PKWZ · pith_short_16: HUGTCIL5PKWZJYLW · pith_short_8: HUGTCIL5

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/HUGTCIL5PKWZJYLWOFKQYFB27L \
  | 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: 3d0d31217d7aad94e17671550c143afac40707047960c28dc0a2af7e89d306b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c04281e3e03eaf7df84c2622808be9d5a2ce1091771bf1155fc333aee7b51eb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-07-22T06:44:41Z",
    "title_canon_sha256": "99c41eae6cda945342fc708677708d7b4b69b4272d63d91752fc2503f22e90c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5755",
    "kind": "arxiv",
    "version": 1
  }
}