pith. sign in
Pith Number

pith:TV5VNRQI

pith:2010:TV5VNRQIITVPXLLCMDWGLWGU7V
not attested not anchored not stored refs pending

Witten's D_4 Integrable Hierarchies Conjecture

Amanda Francis, Evan Merrell, Huijun Fan, Tyler J. Jarvis, Yongbin Ruan

arxiv:1008.0927 v2 · 2010-08-05 · math.AG · hep-th · math-ph · math.MP · math.SG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TV5VNRQIITVPXLLCMDWGLWGU7V}

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 2026-05-18T02:50:24.643397Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9d7b56c60844eafbad6260ec65d8d4fd538b7b6cc30d48fa26167d2748488c01

Aliases

arxiv: 1008.0927 · arxiv_version: 1008.0927v2 · doi: 10.48550/arxiv.1008.0927 · pith_short_12: TV5VNRQIITVP · pith_short_16: TV5VNRQIITVPXLLC · pith_short_8: TV5VNRQI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TV5VNRQIITVPXLLCMDWGLWGU7V \
  | 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: 9d7b56c60844eafbad6260ec65d8d4fd538b7b6cc30d48fa26167d2748488c01
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8bae4f296b879e51837730d4a1d4a739ace7d71c2b1d1bb9370ed5b92748a792",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-05T08:49:32Z",
    "title_canon_sha256": "db317cec2b9e6e1c9949d78220f397a48710966727b13b8cc929c785716003a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0927",
    "kind": "arxiv",
    "version": 2
  }
}