Pith Number

pith:TPAYA5U4

pith:2018:TPAYA5U4KCQPPPMO6T3SOK7P3M

not attested not anchored not stored refs pending

The End of Cosmic Growth

David Polarski, Eric V. Linder

arxiv:1810.10547 v2 · 2018-10-24 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPAYA5U4KCQPPPMO6T3SOK7P3M}

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	2026-05-17T23:56:45.216207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc180769c50a0f7bd8ef4f7272befdb0a8f5edd3ddb18689a8eea6050804cab

Aliases

arxiv: 1810.10547 · arxiv_version: 1810.10547v2 · doi: 10.48550/arxiv.1810.10547 · pith_short_12: TPAYA5U4KCQP · pith_short_16: TPAYA5U4KCQPPPMO · pith_short_8: TPAYA5U4

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/TPAYA5U4KCQPPPMO6T3SOK7P3M \
  | 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: 9bc180769c50a0f7bd8ef4f7272befdb0a8f5edd3ddb18689a8eea6050804cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87663dcfbc23b9742b87fb94ca85e4b7df49d88c539debe4739bc89e80e83a23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-10-24T18:00:02Z",
    "title_canon_sha256": "12df007dd84f596faf965ae2a8fc0470191da1c123ad239f9fca73bffc7392c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10547",
    "kind": "arxiv",
    "version": 2
  }
}