Pith Number

pith:DBHNG5HK

pith:2012:DBHNG5HK7JQGH5WFV5WAOPPAMM

not attested not anchored not stored refs pending

On adding a variable to a Frobenius manifold and generalizations

Liana David

arxiv:1201.0948 v3 · 2012-01-04 · math.DG · 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{DBHNG5HK7JQGH5WFV5WAOPPAMM}

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	2026-05-18T03:47:01.196860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

184ed374eafa6063f6c5af6c073de0631613ddfced5f97569da3ad58bb1ebc75

Aliases

arxiv: 1201.0948 · arxiv_version: 1201.0948v3 · doi: 10.48550/arxiv.1201.0948 · pith_short_12: DBHNG5HK7JQG · pith_short_16: DBHNG5HK7JQGH5WF · pith_short_8: DBHNG5HK

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/DBHNG5HK7JQGH5WFV5WAOPPAMM \
  | 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: 184ed374eafa6063f6c5af6c073de0631613ddfced5f97569da3ad58bb1ebc75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d760f567e29c28109a92c9d4a65fbb029780902a81d76b9fb3960df5d11460e5",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-04T17:56:39Z",
    "title_canon_sha256": "a0ba398e8600ccb9e7ac297dfd67a4df11b1872e9844bf901edec047ed12f6f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0948",
    "kind": "arxiv",
    "version": 3
  }
}