Pith Number

pith:KOQPFZ7F

pith:2014:KOQPFZ7F3RB3M26QCOH2NS3KZ3

not attested not anchored not stored refs pending

Recursion relations for Double Ramification Hierarchies

A. Buryak, P. Rossi

arxiv:1411.6797 v2 · 2014-11-25 · 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{KOQPFZ7F3RB3M26QCOH2NS3KZ3}

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	2026-05-18T01:16:26.648390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53a0f2e7e5dc43b66bd0138fa6cb6acedbe2b048de473cb0b4c1515eab83c6d5

Aliases

arxiv: 1411.6797 · arxiv_version: 1411.6797v2 · doi: 10.48550/arxiv.1411.6797 · pith_short_12: KOQPFZ7F3RB3 · pith_short_16: KOQPFZ7F3RB3M26Q · pith_short_8: KOQPFZ7F

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/KOQPFZ7F3RB3M26QCOH2NS3KZ3 \
  | 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: 53a0f2e7e5dc43b66bd0138fa6cb6acedbe2b048de473cb0b4c1515eab83c6d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eeb795cbd76b3f147dfba128209844e331487b9db470a141f5ea8c6c047d443",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-25T10:30:49Z",
    "title_canon_sha256": "8196af06dfc94a60aea8b8828bf68ea252ebc7e0678f69cabdb0967a6c107d87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6797",
    "kind": "arxiv",
    "version": 2
  }
}