Pith Number

pith:VODJCL7D

pith:2011:VODJCL7DMO7TGKVAO4DPGHXICD

not attested not anchored not stored refs pending

Spin Foams and Canonical Quantization

Karim Noui, Marc Geiller, Sergei Alexandrov

arxiv:1112.1961 v3 · 2011-12-08 · 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{VODJCL7DMO7TGKVAO4DPGHXICD}

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	2026-05-18T03:48:33.993954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab86912fe363bf332aa07706f31ee810c94875e80290f555e674761577367ede

Aliases

arxiv: 1112.1961 · arxiv_version: 1112.1961v3 · doi: 10.48550/arxiv.1112.1961 · pith_short_12: VODJCL7DMO7T · pith_short_16: VODJCL7DMO7TGKVA · pith_short_8: VODJCL7D

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/VODJCL7DMO7TGKVAO4DPGHXICD \
  | 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: ab86912fe363bf332aa07706f31ee810c94875e80290f555e674761577367ede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "971325729d0ec73fd514cbd323fb956af7d0831fba1d5530471a7f77e29d8539",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-12-08T21:09:08Z",
    "title_canon_sha256": "0965a35cb2a95237736620fc7dd88c80ebed08f67392e534fc7d777f1321b036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1961",
    "kind": "arxiv",
    "version": 3
  }
}