Pith Number

pith:DNIRN5H4

pith:2013:DNIRN5H4B2AWHAFA5GNKDWZKUT

not attested not anchored not stored refs pending

Refined knot invariants and Hilbert schemes

Andrei Negu\c{t}, Eugene Gorsky

arxiv:1304.3328 v3 · 2013-04-11 · math.RT · hep-th · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNIRN5H4B2AWHAFA5GNKDWZKUT}

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	2026-05-18T01:35:28.378158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b5116f4fc0e816380a0e99aa1db2aa4c9091105c9de700e983a81c14f3ec51f

Aliases

arxiv: 1304.3328 · arxiv_version: 1304.3328v3 · doi: 10.48550/arxiv.1304.3328 · pith_short_12: DNIRN5H4B2AW · pith_short_16: DNIRN5H4B2AWHAFA · pith_short_8: DNIRN5H4

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/DNIRN5H4B2AWHAFA5GNKDWZKUT \
  | 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: 1b5116f4fc0e816380a0e99aa1db2aa4c9091105c9de700e983a81c14f3ec51f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "280b1c56746f0c2b42144cc75885ab92c36f97900a4c16feb10bde4b12912b08",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-04-11T14:47:57Z",
    "title_canon_sha256": "2cf61b886b4c4f3b6131e0e99c0483062a85be415920ae4bb511cdd6c23e450b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3328",
    "kind": "arxiv",
    "version": 3
  }
}