Pith Number

pith:LKTDL76A

pith:2007:LKTDL76A2LQ56WPERXKFFUPZVI

not attested not anchored not stored refs pending

Accelerating expansion and change of signature

Jos\'e M. M. Senovilla, Marc Mars, Ra\"ul Vera

arxiv:0712.1462 v1 · 2007-12-10 · 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{LKTDL76A2LQ56WPERXKFFUPZVI}

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	2026-07-04T17:07:10.764345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aa635ffc0d2e1df59e48dd452d1f9aa28e4f087d8bf94d29ca7d72fae6e8829

Aliases

arxiv: 0712.1462 · arxiv_version: 0712.1462v1 · doi: 10.48550/arxiv.0712.1462 · pith_short_12: LKTDL76A2LQ5 · pith_short_16: LKTDL76A2LQ56WPE · pith_short_8: LKTDL76A

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/LKTDL76A2LQ56WPERXKFFUPZVI \
  | 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: 5aa635ffc0d2e1df59e48dd452d1f9aa28e4f087d8bf94d29ca7d72fae6e8829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81415e2d4dd7633057d53fc5b6b1ac2ce0940c0c460c512339b7eac88d7659d8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-12-10T16:31:47Z",
    "title_canon_sha256": "4497f06b66f08a2188cbeb466a3f05120a2275836b4916537b70e24906522ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1462",
    "kind": "arxiv",
    "version": 1
  }
}