Pith Number

pith:7VQLKJ2O

pith:2010:7VQLKJ2OIVXMS7RQDBJAXBYYSR

not attested not anchored not stored refs pending

Dynamical Backreaction in Robertson-Walker Spacetime

Benjamin Eltzner, Hanno Gottschalk

arxiv:1003.3630 v3 · 2010-03-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VQLKJ2OIVXMS7RQDBJAXBYYSR}

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	2026-05-18T04:18:23.549138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd60b5274e456ec97e3018520b871894405b0a9519175cd49f1c2ef9c7b47771

Aliases

arxiv: 1003.3630 · arxiv_version: 1003.3630v3 · doi: 10.48550/arxiv.1003.3630 · pith_short_12: 7VQLKJ2OIVXM · pith_short_16: 7VQLKJ2OIVXMS7RQ · pith_short_8: 7VQLKJ2O

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/7VQLKJ2OIVXMS7RQDBJAXBYYSR \
  | 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: fd60b5274e456ec97e3018520b871894405b0a9519175cd49f1c2ef9c7b47771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "423dac6f2afcfdc59c70fd0bfec9eb877a0669e082b19746901a0d65f76a16bb",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-03-18T16:49:48Z",
    "title_canon_sha256": "a26a4ea533e86de64d5d657f28797c61e7cec1d9a9119c6f33dc5bf68c3ae4bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3630",
    "kind": "arxiv",
    "version": 3
  }
}