Pith Number

pith:INP5EDPA

pith:2013:INP5EDPA3AYJSQVHZ2UQB3OAGV

not attested not anchored not stored refs pending

Twisted Alexander polynomials of 2-bridge knots for parabolic representations

Anh T. Tran, Takayuki Morifuji

arxiv:1301.1101 v2 · 2013-01-07 · 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{INP5EDPA3AYJSQVHZ2UQB3OAGV}

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	2026-05-18T01:22:25.854856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

435fd20de0d8309942a7cea900edc035773e932bebfa9df72fbc381ab7d59c7a

Aliases

arxiv: 1301.1101 · arxiv_version: 1301.1101v2 · doi: 10.48550/arxiv.1301.1101 · pith_short_12: INP5EDPA3AYJ · pith_short_16: INP5EDPA3AYJSQVH · pith_short_8: INP5EDPA

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/INP5EDPA3AYJSQVHZ2UQB3OAGV \
  | 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: 435fd20de0d8309942a7cea900edc035773e932bebfa9df72fbc381ab7d59c7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd8b59fb866b84993b238139e1ae86f466f5b848153f83b02c2334d43e24f9b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-07T02:49:52Z",
    "title_canon_sha256": "40d3a8488e027b2ce26f5d40ed78358767dbf12355d7aae371aaedf5a43bdc90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1101",
    "kind": "arxiv",
    "version": 2
  }
}