Pith Number

pith:5GXLPYQT

pith:2013:5GXLPYQTTTVSHAUOMHCEDN7JQW

not attested not anchored not stored refs pending

On the twisted Alexander polynomial for representations into SL_2(C)

Anh T. Tran

arxiv:1302.1631 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{5GXLPYQTTTVSHAUOMHCEDN7JQW}

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	2026-05-18T03:14:17.381098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9aeb7e2139ceb23828e61c441b7e9858501c0fb6fd85e881b4034882627b614

Aliases

arxiv: 1302.1631 · arxiv_version: 1302.1631v2 · doi: 10.48550/arxiv.1302.1631 · pith_short_12: 5GXLPYQTTTVS · pith_short_16: 5GXLPYQTTTVSHAUO · pith_short_8: 5GXLPYQT

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/5GXLPYQTTTVSHAUOMHCEDN7JQW \
  | 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: e9aeb7e2139ceb23828e61c441b7e9858501c0fb6fd85e881b4034882627b614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1fb8658e53b3b7254bebc0e67d025d7a1f755e2e6816057f645b49bb3a79d0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-07T02:39:39Z",
    "title_canon_sha256": "efeba5688b01eeca1cfc1ddfd4a51ee9e5457c35f45a10bf74f99917daef183b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1631",
    "kind": "arxiv",
    "version": 2
  }
}