Pith Number

pith:UQ5CTP4F

pith:2011:UQ5CTP4FBVBHUQ2EDEPHF273QF

not attested not anchored not stored refs pending

Dirac pairs

Yvette Kosmann-Schwarzbach

arxiv:1104.1378 v1 · 2011-04-07 · math.DG · 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{UQ5CTP4FBVBHUQ2EDEPHF273QF}

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	2026-05-18T03:39:16.873798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a43a29bf850d427a4344191e72ebfb8162fba3f53a5ca0b9433030897b42dd2f

Aliases

arxiv: 1104.1378 · arxiv_version: 1104.1378v1 · doi: 10.48550/arxiv.1104.1378 · pith_short_12: UQ5CTP4FBVBH · pith_short_16: UQ5CTP4FBVBHUQ2E · pith_short_8: UQ5CTP4F

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/UQ5CTP4FBVBHUQ2EDEPHF273QF \
  | 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: a43a29bf850d427a4344191e72ebfb8162fba3f53a5ca0b9433030897b42dd2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42324e389a7fc78b6f8411e30f057aa4b969214114aa1e4ffa53d7a63e394c58",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-07T16:57:19Z",
    "title_canon_sha256": "f341faba10d4d0b69af25a2478ba44b90caeb9f8783a039328230be33c5791cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1378",
    "kind": "arxiv",
    "version": 1
  }
}