Pith Number

pith:2QEYFB5I

pith:2010:2QEYFB5IGKIKOOF2PWGWVMRLVK

not attested not anchored not stored refs pending

Cosmic Sum Rules

Francesco Sannino, Isabella Masina, Mads T. Frandsen

arxiv:1011.0013 v2 · 2010-10-29 · hep-ph · astro-ph.HE · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QEYFB5IGKIKOOF2PWGWVMRLVK}

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	2026-05-18T02:23:38.115133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4098287a83290a738ba7d8d6ab22baaa5c59625e5cc9053f190e34a745ce240

Aliases

arxiv: 1011.0013 · arxiv_version: 1011.0013v2 · doi: 10.48550/arxiv.1011.0013 · pith_short_12: 2QEYFB5IGKIK · pith_short_16: 2QEYFB5IGKIKOOF2 · pith_short_8: 2QEYFB5I

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/2QEYFB5IGKIKOOF2PWGWVMRLVK \
  | 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: d4098287a83290a738ba7d8d6ab22baaa5c59625e5cc9053f190e34a745ce240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76f8303e514ec4353cc8e70a801af423896b2ab0d3dea1c2d7fe583f5a2a0ec",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-10-29T20:47:11Z",
    "title_canon_sha256": "38152b5f4a1a92a2d439788d50b9b8953cc8c58515e35318b6694e22b3ad1049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0013",
    "kind": "arxiv",
    "version": 2
  }
}