Pith Number

pith:OXKWSUIP

pith:2010:OXKWSUIP6VXR5ZZATWCVLRNCW3

not attested not anchored not stored refs pending

Massive Hopfions

David Foster

arxiv:1012.2595 v1 · 2010-12-12 · hep-th · 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{OXKWSUIP6VXR5ZZATWCVLRNCW3}

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	2026-05-18T04:22:29.369219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75d569510ff56f1ee7209d8555c5a2b6e9ad1b1d635c96168b65606d69ca68e1

Aliases

arxiv: 1012.2595 · arxiv_version: 1012.2595v1 · doi: 10.48550/arxiv.1012.2595 · pith_short_12: OXKWSUIP6VXR · pith_short_16: OXKWSUIP6VXR5ZZA · pith_short_8: OXKWSUIP

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/OXKWSUIP6VXR5ZZATWCVLRNCW3 \
  | 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: 75d569510ff56f1ee7209d8555c5a2b6e9ad1b1d635c96168b65606d69ca68e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe06c8ebc212b9a063d568e52dafdfcf82ed5c066745d5e9336bfaa6a2e51285",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-12T22:35:13Z",
    "title_canon_sha256": "dc1084ab50d2d851c569edad046a25518ddaf8189326da49b3eb611eafa0bdb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2595",
    "kind": "arxiv",
    "version": 1
  }
}