Pith Number

pith:64KNWJAV

pith:2014:64KNWJAV2MCGTMUPOQPQFVDDZQ

not attested not anchored not stored refs pending

Double ramification cycles and integrable hierarchies

A. Buryak

arxiv:1403.1719 v3 · 2014-03-07 · math-ph · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64KNWJAV2MCGTMUPOQPQFVDDZQ}

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.

Cited by

1 paper in Pith

Reconstruction of F-cohomological field theories on moduli of compact type

Receipt and verification

First computed	2026-05-18T02:20:28.953405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f714db2415d30469b28f741f02d463cc2fe4f247150ec27877cedd129487dba6

Aliases

arxiv: 1403.1719 · arxiv_version: 1403.1719v3 · doi: 10.48550/arxiv.1403.1719 · pith_short_12: 64KNWJAV2MCG · pith_short_16: 64KNWJAV2MCGTMUP · pith_short_8: 64KNWJAV

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/64KNWJAV2MCGTMUPOQPQFVDDZQ \
  | 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: f714db2415d30469b28f741f02d463cc2fe4f247150ec27877cedd129487dba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b9468720610d3800b2bcb69abfa8eedca6f9b6933b9d73a8fb6c2f2a3eb6360",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-07T11:08:38Z",
    "title_canon_sha256": "d4e80d2fdcd5f8a70b6a11bc9ef5e0251c0c7a3e86df9450a3bf82ef3536eb34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1719",
    "kind": "arxiv",
    "version": 3
  }
}