Pith Number

pith:HBUMZWA7

pith:2012:HBUMZWA73PJJHHG6XTYOT3N2A2

not attested not anchored not stored refs pending

Recursion Operators and Frobenius Manifolds

Franco Magri

arxiv:1210.5320 v1 · 2012-10-19 · math.SG · math-ph · math.AG · math.MP · 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{HBUMZWA73PJJHHG6XTYOT3N2A2}

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	2026-05-18T03:42:45.552056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3868ccd81fdbd2939cdebcf0e9edba06b7585f9dea1999d0eac970b22b295af2

Aliases

arxiv: 1210.5320 · arxiv_version: 1210.5320v1 · doi: 10.48550/arxiv.1210.5320 · pith_short_12: HBUMZWA73PJJ · pith_short_16: HBUMZWA73PJJHHG6 · pith_short_8: HBUMZWA7

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/HBUMZWA73PJJHHG6XTYOT3N2A2 \
  | 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: 3868ccd81fdbd2939cdebcf0e9edba06b7585f9dea1999d0eac970b22b295af2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aede5448b73b14096b82d7486202ef26849c41944485e5d1025a8af52f78c19c",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-10-19T05:41:29Z",
    "title_canon_sha256": "22897b86eed873ffb667c1c19dc74af11a6040f67cae4341b9f2cf0b5fffd7f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5320",
    "kind": "arxiv",
    "version": 1
  }
}