Pith Number

pith:D4WA5WTT

pith:2008:D4WA5WTTFR73UNVHHHBC2SJP2H

not attested not anchored not stored refs pending

Quantum Oscillations Can Prevent the Big Bang Singularity in an Einstein-Dirac Cosmology

Christian Hainzl, Felix Finster

arxiv:0809.1693 v4 · 2008-09-10 · 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{D4WA5WTTFR73UNVHHHBC2SJP2H}

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	2026-05-18T04:17:15.659755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f2c0eda732c7fba36a739c22d492fd1f191cb8aa031eb57258043ab20607c1c

Aliases

arxiv: 0809.1693 · arxiv_version: 0809.1693v4 · doi: 10.48550/arxiv.0809.1693 · pith_short_12: D4WA5WTTFR73 · pith_short_16: D4WA5WTTFR73UNVH · pith_short_8: D4WA5WTT

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/D4WA5WTTFR73UNVHHHBC2SJP2H \
  | 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: 1f2c0eda732c7fba36a739c22d492fd1f191cb8aa031eb57258043ab20607c1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d1c245148d533de183ae004be8a112bc3a7bf1697a3bf931fcbe2ca593e86fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-09-10T00:24:04Z",
    "title_canon_sha256": "2cfe55e425e4a8287923b8dc384b16c609d93965db9445ec2ccb69130c3c2732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.1693",
    "kind": "arxiv",
    "version": 4
  }
}