Pith Number

pith:IM3YMWNH

pith:2004:IM3YMWNH4TWI7CH2TMB4OOMBV2

not attested not anchored not stored refs pending

Cosmological dynamics in tomographic probability representation

C.Stornaiolo, G.Marmo, V.I.Man'ko

arxiv:gr-qc/0412091 v1 · 2004-12-20 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IM3YMWNH4TWI7CH2TMB4OOMBV2}

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	2026-05-18T01:39:22.324234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43378659a7e4ec8f88fa9b03c73981aeaf4ad3818618116ca44065322d68f6b6

Aliases

arxiv: gr-qc/0412091 · arxiv_version: gr-qc/0412091v1 · doi: 10.48550/arxiv.gr-qc/0412091 · pith_short_12: IM3YMWNH4TWI · pith_short_16: IM3YMWNH4TWI7CH2 · pith_short_8: IM3YMWNH

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/IM3YMWNH4TWI7CH2TMB4OOMBV2 \
  | 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: 43378659a7e4ec8f88fa9b03c73981aeaf4ad3818618116ca44065322d68f6b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d72575329b5e8c3b6f3bc00c5e7e791c8d4539292a4e5073afea879220cec437",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-12-20T15:47:46Z",
    "title_canon_sha256": "972b26c0de65139cb325d394f4ea0904b565071101d61ad29b20e032975dabf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0412091",
    "kind": "arxiv",
    "version": 1
  }
}