Pith Number

pith:E7PMXJ6A

pith:2005:E7PMXJ6ABXRYGAZCQK4HA36PC3

not attested not anchored not stored refs pending

End Invariants for $\SL(2,C)$ characters of the one-holed torus

Ser Peow Tan, Yan Loi Wong, Ying Zhang

arxiv:math/0511621 v1 · 2005-11-25 · math.GT · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E7PMXJ6ABXRYGAZCQK4HA36PC3}

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	2026-07-04T15:11:45.090577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27decba7c00de383032282b8706fcf16c9e490103090a0633598deba1785ee5b

Aliases

arxiv: math/0511621 · arxiv_version: math/0511621v1 · doi: 10.48550/arxiv.math/0511621 · pith_short_12: E7PMXJ6ABXRY · pith_short_16: E7PMXJ6ABXRYGAZC · pith_short_8: E7PMXJ6A

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/E7PMXJ6ABXRYGAZCQK4HA36PC3 \
  | 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: 27decba7c00de383032282b8706fcf16c9e490103090a0633598deba1785ee5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "034d5fbbc8e44838f3c2d56c37daec7c9aa7d7173bbea4742fe107a14a7a7966",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-11-25T05:29:09Z",
    "title_canon_sha256": "8471f71dccc307c818ebfcaba002983df7e5b7092c1ae73cdbe2f77bb71d9886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511621",
    "kind": "arxiv",
    "version": 1
  }
}