Pith Number

pith:4BZQBYBA

pith:2013:4BZQBYBAVKXW757PCP6RJNOWDP

not attested not anchored not stored refs pending

Study of cosmic backreaction on the future evolution of an accelerating universe using multiple domains

A. S. Majumdar, Nilok Bose

arxiv:1307.5022 v1 · 2013-07-18 · 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{4BZQBYBAVKXW757PCP6RJNOWDP}

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	2026-05-18T03:18:06.904474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07300e020aaaf6ff7ef13fd14b5d61bf92b5c8befbf9ab079197fd84e1e56e4

Aliases

arxiv: 1307.5022 · arxiv_version: 1307.5022v1 · doi: 10.48550/arxiv.1307.5022 · pith_short_12: 4BZQBYBAVKXW · pith_short_16: 4BZQBYBAVKXW757P · pith_short_8: 4BZQBYBA

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/4BZQBYBAVKXW757PCP6RJNOWDP \
  | 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: e07300e020aaaf6ff7ef13fd14b5d61bf92b5c8befbf9ab079197fd84e1e56e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01e3a92be554bfef6f07b3aacfaba4cb48c419b64cbf838dc944e4ab45fd8c70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-07-18T17:37:35Z",
    "title_canon_sha256": "5d66180f5cc44c475d771c39e4639bace6293796cb633dc65a8e88a48d1d989f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5022",
    "kind": "arxiv",
    "version": 1
  }
}