Pith Number

pith:7OMLA4FA

pith:2012:7OMLA4FALRWOF25CVZFRQEIF6H

not attested not anchored not stored refs pending

A spinorial energy functional: critical points and gradient flow

Bernd Ammann, Frederik Witt, Hartmut Weiss

arxiv:1207.3529 v2 · 2012-07-15 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7OMLA4FALRWOF25CVZFRQEIF6H}

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	2026-05-18T00:01:11.067720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb98b070a05c6ce2eba2ae4b181105f1c3f70abcbdf1266d6bc7357a715c219c

Aliases

arxiv: 1207.3529 · arxiv_version: 1207.3529v2 · doi: 10.48550/arxiv.1207.3529 · pith_short_12: 7OMLA4FALRWO · pith_short_16: 7OMLA4FALRWOF25C · pith_short_8: 7OMLA4FA

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/7OMLA4FALRWOF25CVZFRQEIF6H \
  | 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: fb98b070a05c6ce2eba2ae4b181105f1c3f70abcbdf1266d6bc7357a715c219c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "222b53ec3f5502f3f3b4a86a6c7cd9ca437f4cbef3ac9f12469da080640c4579",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-15T17:07:16Z",
    "title_canon_sha256": "c102c5f859c92fdcf78746c33fb15716313379fdfd86d1c3bfe98191f2e5e4f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3529",
    "kind": "arxiv",
    "version": 2
  }
}