Pith Number

pith:2K4P5RJ4

pith:2021:2K4P5RJ4IAMTCJ5O4J6AUYKVRO

not attested not anchored not stored refs pending

Inflation, phase transitions and the cosmological constant

Orfeu Bertolami

arxiv:2102.09456 v3 · 2021-02-17 · 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{2K4P5RJ4IAMTCJ5O4J6AUYKVRO}

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	2026-07-05T03:38:15.841714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2b8fec53c40193127aee27c0a61558ba12d67d0b967f8b5bb143e2dc2207a04

Aliases

arxiv: 2102.09456 · arxiv_version: 2102.09456v3 · doi: 10.48550/arxiv.2102.09456 · pith_short_12: 2K4P5RJ4IAMT · pith_short_16: 2K4P5RJ4IAMTCJ5O · pith_short_8: 2K4P5RJ4

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/2K4P5RJ4IAMTCJ5O4J6AUYKVRO \
  | 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: d2b8fec53c40193127aee27c0a61558ba12d67d0b967f8b5bb143e2dc2207a04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0138f8e5f07b1e0bee06095df1f798585b0b22f7f72315972dd7ca7014f6653b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-02-17T14:52:01Z",
    "title_canon_sha256": "f97c7b0c7f97487e82a57634c532342d9d2bf1c2e6ad28dc5ca1dab724d7f029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09456",
    "kind": "arxiv",
    "version": 3
  }
}