Pith Number

pith:7QH3PTP5

pith:1999:7QH3PTP5XKTA4BF75LNQDJ3OTS

not attested not anchored not stored refs pending

Frobenius submanifolds

I.A.B. Strachan

arxiv:math/9912081 v1 · 1999-12-10 · math.DG · hep-th · math-ph · math.MP · nlin.SI · solv-int

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QH3PTP5XKTA4BF75LNQDJ3OTS}

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	2026-05-18T01:38:22.281019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc0fb7cdfdbaa60e04bfeadb01a76e9cac37d57693dbcc31f0eb70063cc18504

Aliases

arxiv: math/9912081 · arxiv_version: math/9912081v1 · doi: 10.48550/arxiv.math/9912081 · pith_short_12: 7QH3PTP5XKTA · pith_short_16: 7QH3PTP5XKTA4BF7 · pith_short_8: 7QH3PTP5

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/7QH3PTP5XKTA4BF75LNQDJ3OTS \
  | 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: fc0fb7cdfdbaa60e04bfeadb01a76e9cac37d57693dbcc31f0eb70063cc18504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85fe1bd29819d6d3d243b8d2ad9bd4b0449cd0e5a00e1c987dbcc8b817a661d4",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.SI",
      "solv-int"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1999-12-10T15:12:05Z",
    "title_canon_sha256": "e892705490705c6a9303d497bf218a7068f2ff191aa6e3d5fb61d31cdfa5950e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9912081",
    "kind": "arxiv",
    "version": 1
  }
}