Pith Number

pith:5F3HO3P3

pith:2006:5F3HO3P3W45XXVLSOLU5MHT3FU

not attested not anchored not stored refs pending

Tautological relations and the r-spin Witten conjecture

Carel Faber, Dimitri Zvonkine, Sergey Shadrin

arxiv:math/0612510 v3 · 2006-12-18 · 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{5F3HO3P3W45XXVLSOLU5MHT3FU}

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	2026-05-18T00:37:42.507456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e976776dfbb73b7bd57272e9d61e7b2d313a41c770ecf748863b8c12701ad692

Aliases

arxiv: math/0612510 · arxiv_version: math/0612510v3 · doi: 10.48550/arxiv.math/0612510 · pith_short_12: 5F3HO3P3W45X · pith_short_16: 5F3HO3P3W45XXVLS · pith_short_8: 5F3HO3P3

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/5F3HO3P3W45XXVLSOLU5MHT3FU \
  | 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: e976776dfbb73b7bd57272e9d61e7b2d313a41c770ecf748863b8c12701ad692

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fe0cddd5b210a721be3d4741561e930ab774c985f2f4d5aede600f540c3dd30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2006-12-18T12:59:07Z",
    "title_canon_sha256": "7b4640d5369d2536943382bd5f363e08edacce37a115c0378953b96de167e887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612510",
    "kind": "arxiv",
    "version": 3
  }
}