Pith Number

pith:O2NZV44B

pith:2012:O2NZV44B2PIY7MMAC5LVDDB4EN

not attested not anchored not stored refs pending

A general theory for gauge-free lifting

P. J. Morrison

arxiv:1210.6564 v2 · 2012-10-24 · physics.plasm-ph · physics.class-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2NZV44B2PIY7MMAC5LVDDB4EN}

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	2026-05-18T03:33:25.549620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

769b9af381d3d18fb1801757518c3c235f82dcebc09c192ed2fe4bf3630a2ff2

Aliases

arxiv: 1210.6564 · arxiv_version: 1210.6564v2 · doi: 10.48550/arxiv.1210.6564 · pith_short_12: O2NZV44B2PIY · pith_short_16: O2NZV44B2PIY7MMA · pith_short_8: O2NZV44B

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/O2NZV44B2PIY7MMAC5LVDDB4EN \
  | 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: 769b9af381d3d18fb1801757518c3c235f82dcebc09c192ed2fe4bf3630a2ff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a60b3fac588156998e2fb6fd073ee5f330fc27bafb7bb7e6bbb7f505ee5899f",
    "cross_cats_sorted": [
      "physics.class-ph",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2012-10-24T15:07:22Z",
    "title_canon_sha256": "a4a6da178328af6a421b55290853fa7933342290bd671f21aa0255377ea91c25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6564",
    "kind": "arxiv",
    "version": 2
  }
}