Pith Number

pith:O427ZJSR

pith:2011:O427ZJSRHHQC4LA45I6QGCOPV7

not attested not anchored not stored refs pending

Mutation and SL(2,C)-Reidemeister torsion for hyperbolic knots

Joan Porti, Pere Menal-Ferrer

arxiv:1108.2460 v1 · 2011-08-11 · 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{O427ZJSRHHQC4LA45I6QGCOPV7}

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	2026-05-18T02:41:43.721729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7735fca65139e02e2c1cea3d0309cfaff8c0cdbb62844e0cced01c8c7e16dadb

Aliases

arxiv: 1108.2460 · arxiv_version: 1108.2460v1 · doi: 10.48550/arxiv.1108.2460 · pith_short_12: O427ZJSRHHQC · pith_short_16: O427ZJSRHHQC4LA4 · pith_short_8: O427ZJSR

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/O427ZJSRHHQC4LA45I6QGCOPV7 \
  | 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: 7735fca65139e02e2c1cea3d0309cfaff8c0cdbb62844e0cced01c8c7e16dadb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8089a88e1294c8367c4d6abc02e5a7ba670355ddc00650b32b8f82b0888e9a0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-11T16:49:03Z",
    "title_canon_sha256": "7d9ac3a145126902b91b1da241d64f81c8cb43938fd720b6b9082f493e816f46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2460",
    "kind": "arxiv",
    "version": 1
  }
}