Pith Number

pith:QPNRJRFW

pith:2019:QPNRJRFWJYN7TZZHE2GCXKX2TK

not attested not anchored not stored refs pending

Formal groups and quantum cohomology

Paul Seidel

arxiv:1910.08990 v2 · 2019-10-20 · math.SG · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPNRJRFWJYN7TZZHE2GCXKX2TK}

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	2026-07-05T07:14:48.109983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83db14c4b64e1bf9e727268c2baafa9a997392487712cf2af27078e9d6e7a64d

Aliases

arxiv: 1910.08990 · arxiv_version: 1910.08990v2 · doi: 10.48550/arxiv.1910.08990 · pith_short_12: QPNRJRFWJYN7 · pith_short_16: QPNRJRFWJYN7TZZH · pith_short_8: QPNRJRFW

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/QPNRJRFWJYN7TZZHE2GCXKX2TK \
  | 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: 83db14c4b64e1bf9e727268c2baafa9a997392487712cf2af27078e9d6e7a64d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dccad193f33af4a5ab0264852f825108d4d9a0b901b22879132219def39a13a",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2019-10-20T14:30:33Z",
    "title_canon_sha256": "e485a35a58ef196c846e45ce3027c970ee801310cee9937bac0596858b3a9c31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.08990",
    "kind": "arxiv",
    "version": 2
  }
}