Pith Number

pith:5SZCACYG

pith:2014:5SZCACYGNXJ44F2CMSBYCYIMKL

not attested not anchored not stored refs pending

On Fenchel-Nielsen Coordinates of Surface Group Representations into SU(3,1)

Krishnendu Gongopadhyay, Shiv Parsad

arxiv:1411.6755 v3 · 2014-11-25 · 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{5SZCACYGNXJ44F2CMSBYCYIMKL}

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	2026-05-18T00:53:12.634805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb2200b066dd3ce1742648381610c52cc833fc357d5ee7d9043e782335fbd3e

Aliases

arxiv: 1411.6755 · arxiv_version: 1411.6755v3 · doi: 10.48550/arxiv.1411.6755 · pith_short_12: 5SZCACYGNXJ4 · pith_short_16: 5SZCACYGNXJ44F2C · pith_short_8: 5SZCACYG

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/5SZCACYGNXJ44F2CMSBYCYIMKL \
  | 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: ecb2200b066dd3ce1742648381610c52cc833fc357d5ee7d9043e782335fbd3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d54a881d5ec1c19becc34dfa1ca5b48f26cb59739dfae39bcf4b3496788fa494",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-25T07:57:23Z",
    "title_canon_sha256": "21e74833f8d35aa54f18d1304fbe18e40956bb45b17905dee9fa006fb3e97edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6755",
    "kind": "arxiv",
    "version": 3
  }
}