Pith Number

pith:D2QZPRAS

pith:2010:D2QZPRASQKDZPL4LNK5SIIGYXU

not attested not anchored not stored refs pending

Critical Overview of Loops and Foams

Philippe Roche, Sergei Alexandrov

arxiv:1009.4475 v1 · 2010-09-22 · 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{D2QZPRASQKDZPL4LNK5SIIGYXU}

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	2026-05-18T04:14:15.008006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ea197c412828797af8b6abb2420d8bd080c2064dc1bf8ef8fffd27b9402a1a2

Aliases

arxiv: 1009.4475 · arxiv_version: 1009.4475v1 · doi: 10.48550/arxiv.1009.4475 · pith_short_12: D2QZPRASQKDZ · pith_short_16: D2QZPRASQKDZPL4L · pith_short_8: D2QZPRAS

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/D2QZPRASQKDZPL4LNK5SIIGYXU \
  | 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: 1ea197c412828797af8b6abb2420d8bd080c2064dc1bf8ef8fffd27b9402a1a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd6bd34c378d606b141f427d2eab3b118e841a37a391ca3b94cc7bc780afffc0",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-09-22T20:51:50Z",
    "title_canon_sha256": "ecf30c1508ce255c0a05023cb72e6748facd978e52bd78c38b711729fdfecc0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4475",
    "kind": "arxiv",
    "version": 1
  }
}