Pith Number

pith:MXWI3W46

pith:2014:MXWI3W46ZJUYH6SYFEFV7XJXIK

not attested not anchored not stored refs pending

On rational Frobenius Manifolds of rank three with symmetries

Alexey Basalaev, Atsushi Takahashi

arxiv:1401.3505 v1 · 2014-01-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXWI3W46ZJUYH6SYFEFV7XJXIK}

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	2026-05-18T01:45:25.400173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65ec8ddb9eca6983fa58290b5fdd374281a1785e4df6cb313731885a3069e7e5

Aliases

arxiv: 1401.3505 · arxiv_version: 1401.3505v1 · doi: 10.48550/arxiv.1401.3505 · pith_short_12: MXWI3W46ZJUY · pith_short_16: MXWI3W46ZJUYH6SY · pith_short_8: MXWI3W46

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/MXWI3W46ZJUYH6SYFEFV7XJXIK \
  | 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: 65ec8ddb9eca6983fa58290b5fdd374281a1785e4df6cb313731885a3069e7e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6036e73d8fe366b17687fa6dc5854d509b499ab4891b2f8a7d21c096922c5e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-01-15T07:11:05Z",
    "title_canon_sha256": "e915bb0386e3df9c7b9769861a5e5c07ad9cdd16c6f84bc16e17d2e762f67bac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3505",
    "kind": "arxiv",
    "version": 1
  }
}