Pith Number

pith:PFHB5LG5

pith:2008:PFHB5LG5VAEZ24Y3ZYENVHPYBB

not attested not anchored not stored refs pending

The Bar-Natan skein module of the solid torus and the homology of (n,n) Springer varieties

Heather M. Russell

arxiv:0805.0286 v1 · 2008-05-02 · math.GT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFHB5LG5VAEZ24Y3ZYENVHPYBB}

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	2026-05-18T03:58:38.520111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794e1eacdda8099d731bce08da9df8085c271bb300f5ebaa20d3bd64a6e38ccb

Aliases

arxiv: 0805.0286 · arxiv_version: 0805.0286v1 · doi: 10.48550/arxiv.0805.0286 · pith_short_12: PFHB5LG5VAEZ · pith_short_16: PFHB5LG5VAEZ24Y3 · pith_short_8: PFHB5LG5

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/PFHB5LG5VAEZ24Y3ZYENVHPYBB \
  | 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: 794e1eacdda8099d731bce08da9df8085c271bb300f5ebaa20d3bd64a6e38ccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7e6e081a73714e188fe6d6ed1eacde7c41adec57edde488ade81a5e9716406f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-05-02T18:42:38Z",
    "title_canon_sha256": "fbbd5560372f15437961b3babef15ecc73e1e40340786c60358a4e27f31c462a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.0286",
    "kind": "arxiv",
    "version": 1
  }
}