Pith Number

pith:55FAVQVG

pith:2011:55FAVQVGKIAZ3ZNFDCV2KAQ5XT

not attested not anchored not stored refs pending

Entropy bounds in terms of the w parameter

Carlos Barcelo (Instituto de Astrofisica de Andalucia, Gabriel Abreu (Victoria University of Wellington), IAA-CSIC), Matt Visser (Victoria University of Wellington)

arxiv:1109.2710 v3 · 2011-09-13 · 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{55FAVQVGKIAZ3ZNFDCV2KAQ5XT}

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	2026-05-18T00:29:34.101723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef4a0ac2a652019de5a518aba5021dbcf2634346ce6d544adeda43ac46e70f50

Aliases

arxiv: 1109.2710 · arxiv_version: 1109.2710v3 · doi: 10.48550/arxiv.1109.2710 · pith_short_12: 55FAVQVGKIAZ · pith_short_16: 55FAVQVGKIAZ3ZNF · pith_short_8: 55FAVQVG

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/55FAVQVGKIAZ3ZNFDCV2KAQ5XT \
  | 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: ef4a0ac2a652019de5a518aba5021dbcf2634346ce6d544adeda43ac46e70f50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "418338d67258dd4d326016f2853c3a76a451fff50ac54e4d6079a6a7bed45bf0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-13T09:12:06Z",
    "title_canon_sha256": "6f9fe258f9d3a205fe6092dff02833d58620d73833780b35144a92753acf33d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2710",
    "kind": "arxiv",
    "version": 3
  }
}