Pith Number

pith:W7622GXL

pith:2014:W7622GXLEQZPL5YXS3LJD4L2P5

not attested not anchored not stored refs pending

Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs

Boris Dubrovin, Di Yang, Si-Qi Liu, Youjin Zhang

arxiv:1409.4616 v1 · 2014-09-16 · math.AG · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7622GXLEQZPL5YXS3LJD4L2P5}

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	2026-05-18T02:42:45.224151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7fdad1aeb2432f5f71796d691f17a7f458efc5c69d80925148c9ad9e6fef003

Aliases

arxiv: 1409.4616 · arxiv_version: 1409.4616v1 · doi: 10.48550/arxiv.1409.4616 · pith_short_12: W7622GXLEQZP · pith_short_16: W7622GXLEQZPL5YX · pith_short_8: W7622GXL

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/W7622GXLEQZPL5YXS3LJD4L2P5 \
  | 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: b7fdad1aeb2432f5f71796d691f17a7f458efc5c69d80925148c9ad9e6fef003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10a8a56d484ee48b632562407e306b69cca7b4c92d9b21671caab870e100efaf",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-16T13:02:02Z",
    "title_canon_sha256": "a0c4e079be568878a80ba53ab8379060c20a33777754a13b5993f1ae674c68a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4616",
    "kind": "arxiv",
    "version": 1
  }
}