Pith Number

pith:VWJVCGPB

pith:2012:VWJVCGPBYIVJH2U56JMV6FDAY7

not attested not anchored not stored refs pending

Harper operators, Fermi curves, and Picard-Fuchs equations

Dan Li

arxiv:1207.5197 v2 · 2012-07-22 · math-ph · 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{VWJVCGPBYIVJH2U56JMV6FDAY7}

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	2026-05-18T01:56:15.333289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad935119e1c22a93ea9df2595f1460c7f5cca7d7b4a0d5847ed205e80b169d32

Aliases

arxiv: 1207.5197 · arxiv_version: 1207.5197v2 · doi: 10.48550/arxiv.1207.5197 · pith_short_12: VWJVCGPBYIVJ · pith_short_16: VWJVCGPBYIVJH2U5 · pith_short_8: VWJVCGPB

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/VWJVCGPBYIVJH2U56JMV6FDAY7 \
  | 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: ad935119e1c22a93ea9df2595f1460c7f5cca7d7b4a0d5847ed205e80b169d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b308b5e01dfafd2cb79675f516065a793472946276273847c032bbcde9e5c762",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-22T03:17:35Z",
    "title_canon_sha256": "2a7727bd3887e7a5acdadbe3a6e482023c2a74564753b5fa7095f4c3d694b70f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5197",
    "kind": "arxiv",
    "version": 2
  }
}