Pith Number

pith:5QUHXHMA

pith:2009:5QUHXHMAEC3NXNIHVKXLHP5TAE

not attested not anchored not stored refs pending

Electromagnetic 2-forms on space-time

M. Grigorescu

arxiv:0912.1998 v3 · 2009-12-10 · math-ph · astro-ph.CO · cond-mat.mtrl-sci · 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{5QUHXHMAEC3NXNIHVKXLHP5TAE}

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	2026-05-18T04:34:37.242984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec287b9d8020b6dbb507aaaeb3bfb30136ef9f3ee759f2a055d92f4ed9eba2ae

Aliases

arxiv: 0912.1998 · arxiv_version: 0912.1998v3 · doi: 10.48550/arxiv.0912.1998 · pith_short_12: 5QUHXHMAEC3N · pith_short_16: 5QUHXHMAEC3NXNIH · pith_short_8: 5QUHXHMA

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/5QUHXHMAEC3NXNIHVKXLHP5TAE \
  | 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: ec287b9d8020b6dbb507aaaeb3bfb30136ef9f3ee759f2a055d92f4ed9eba2ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80f907564c46ac14e4371e94f6dca237b0e961826717993dd83380084760a406",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "cond-mat.mtrl-sci",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-12-10T14:08:35Z",
    "title_canon_sha256": "0f92ebcca2708cec87529520917744e5530ed35f527536917af9a8f60be81924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1998",
    "kind": "arxiv",
    "version": 3
  }
}