Pith Number

pith:XY6KW2F2

pith:2013:XY6KW2F2ID4XP63BP2BOFR3HXS

not attested not anchored not stored refs pending

The Alexander polynomial as quantum invariant of links

Antonio Sartori

arxiv:1308.2047 v2 · 2013-08-09 · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XY6KW2F2ID4XP63BP2BOFR3HXS}

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	2026-05-18T02:22:30.137770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be3cab68ba40f977fb617e82e2c767bcae45fcc601bb296af3b6e8ac2fa8b62a

Aliases

arxiv: 1308.2047 · arxiv_version: 1308.2047v2 · doi: 10.48550/arxiv.1308.2047 · pith_short_12: XY6KW2F2ID4X · pith_short_16: XY6KW2F2ID4XP63B · pith_short_8: XY6KW2F2

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/XY6KW2F2ID4XP63BP2BOFR3HXS \
  | 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: be3cab68ba40f977fb617e82e2c767bcae45fcc601bb296af3b6e8ac2fa8b62a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "449614c180a33b9c33875f544e1d2db126a2fa17daccaa2dd4e8ff9ff1a5c8bb",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-08-09T08:16:10Z",
    "title_canon_sha256": "f4c5e4ea57e92ff5b731af113a8ab5825ba8f3ca6e5f9b4ff31d1345390c4073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2047",
    "kind": "arxiv",
    "version": 2
  }
}