Pith Number

pith:PHLL2HO5

pith:2009:PHLL2HO5Z6XODLWD7S42SW7I2D

not attested not anchored not stored refs pending

Cosmological quantum billiards

Axel Kleinschmidt, Hermann Nicolai

arxiv:0912.0854 v3 · 2009-12-04 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHLL2HO5Z6XODLWD7S42SW7I2D}

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.

Cited by

1 paper in Pith

Wheeler-DeWitt wavefunctions for 5d BKL dynamics, automorphic L-functions and complex primon gases

Receipt and verification

First computed	2026-07-04T17:21:14.708608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79d6bd1dddcfaee1aec3fcb9a95be8d0e0adc1393d0cc19ea4bcc8d1629240d7

Aliases

arxiv: 0912.0854 · arxiv_version: 0912.0854v3 · doi: 10.48550/arxiv.0912.0854 · pith_short_12: PHLL2HO5Z6XO · pith_short_16: PHLL2HO5Z6XODLWD · pith_short_8: PHLL2HO5

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/PHLL2HO5Z6XODLWD7S42SW7I2D \
  | 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: 79d6bd1dddcfaee1aec3fcb9a95be8d0e0adc1393d0cc19ea4bcc8d1629240d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ca49edf7a566896f526c239fbd2b35664aa706ba3ee25932c3abba9f72409a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-12-04T13:33:42Z",
    "title_canon_sha256": "7738f706a84c32d0b4213ec28580ccb96d0fdff9f1726e591d23e49ab21dc211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0854",
    "kind": "arxiv",
    "version": 3
  }
}