Pith Number

pith:OISHJZQJ

pith:2013:OISHJZQJ4MAYKHDHU3URMHHLHR

not attested not anchored not stored refs pending

Twisted Alexander polynomials with the adjoint action for some classes of knots

Anh T. Tran

arxiv:1302.1632 v2 · 2013-02-07 · 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{OISHJZQJ4MAYKHDHU3URMHHLHR}

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	2026-05-18T02:41:59.781594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

722474e609e301851c67a6e9161ceb3c6bfb1f216612ff084798a9e2d5c602d1

Aliases

arxiv: 1302.1632 · arxiv_version: 1302.1632v2 · doi: 10.48550/arxiv.1302.1632 · pith_short_12: OISHJZQJ4MAY · pith_short_16: OISHJZQJ4MAYKHDH · pith_short_8: OISHJZQJ

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/OISHJZQJ4MAYKHDHU3URMHHLHR \
  | 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: 722474e609e301851c67a6e9161ceb3c6bfb1f216612ff084798a9e2d5c602d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9c5d5aa58ec7328faeee946c5ac4fb37bed980f6cd20e8c1eb181dfe19b10e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-07T02:50:28Z",
    "title_canon_sha256": "4b3688a69c069a1c5e93967920490a8f86d16c937df0f98d63c03d33bd803ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1632",
    "kind": "arxiv",
    "version": 2
  }
}