Pith Number

pith:VJL5BR3D

pith:2015:VJL5BR3DRHFNOFOP2YGUY5KW6R

not attested not anchored not stored refs pending

Exceptional knot homology

Ross Elliot, Sergei Gukov

arxiv:1505.01635 v1 · 2015-05-07 · math.QA · hep-th · math.AG · 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{VJL5BR3DRHFNOFOP2YGUY5KW6R}

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	2026-05-18T02:16:40.416743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa57d0c76389cad715cfd60d4c7556f4676a21eee815d362a4a5ff3c54eff37b

Aliases

arxiv: 1505.01635 · arxiv_version: 1505.01635v1 · doi: 10.48550/arxiv.1505.01635 · pith_short_12: VJL5BR3DRHFN · pith_short_16: VJL5BR3DRHFNOFOP · pith_short_8: VJL5BR3D

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/VJL5BR3DRHFNOFOP2YGUY5KW6R \
  | 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: aa57d0c76389cad715cfd60d4c7556f4676a21eee815d362a4a5ff3c54eff37b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c19a4c942c3670d04ecb48dbd18959d4c6f61f5d35e3319c7f742121d6036710",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-05-07T09:20:43Z",
    "title_canon_sha256": "48d6280646c1c2b75d41f3eded0e062e313fac6f20befbc3bce87782762a91b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01635",
    "kind": "arxiv",
    "version": 1
  }
}