Pith Number

pith:ONGCSOS2

pith:2009:ONGCSOS2PO3Y4CYYATDZVPIM2U

not attested not anchored not stored refs pending

Special temporal functions on globally hyperbolic manifolds

Olaf M\"uller

arxiv:0904.1599 v4 · 2009-04-09 · math.DG · gr-qc · 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{ONGCSOS2PO3Y4CYYATDZVPIM2U}

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	2026-05-18T01:14:29.878996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

734c293a5a7bb78e0b1804c79abd0cd53656c44a33f215d3b314c012149b5d62

Aliases

arxiv: 0904.1599 · arxiv_version: 0904.1599v4 · doi: 10.48550/arxiv.0904.1599 · pith_short_12: ONGCSOS2PO3Y · pith_short_16: ONGCSOS2PO3Y4CYY · pith_short_8: ONGCSOS2

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/ONGCSOS2PO3Y4CYYATDZVPIM2U \
  | 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: 734c293a5a7bb78e0b1804c79abd0cd53656c44a33f215d3b314c012149b5d62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4750e1e38fed059ffe7213a12ce7aa785a9d5fb5ec917d8f001cca6c67a7c56",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-04-09T20:10:50Z",
    "title_canon_sha256": "bdbe50945d036f44d17640a2236186d168614a3288bb3082e731cb335279ffe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1599",
    "kind": "arxiv",
    "version": 4
  }
}