Pith Number

pith:W4VXDBUO

pith:2018:W4VXDBUOKFLQ2ENQ7ZBHBR5C6A

not attested not anchored not stored refs pending

Projective Ponzano-Regge spin networks and their symmetries

Annalisa Marzuoli, Vincenzo Aquilanti

arxiv:1802.09423 v1 · 2018-02-26 · math-ph · gr-qc · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4VXDBUOKFLQ2ENQ7ZBHBR5C6A}

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	2026-05-18T00:22:33.743829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b72b71868e51570d11b0fe4270c7a2f038e0c76f5eb5efd85f9a1971b3636602

Aliases

arxiv: 1802.09423 · arxiv_version: 1802.09423v1 · doi: 10.48550/arxiv.1802.09423 · pith_short_12: W4VXDBUOKFLQ · pith_short_16: W4VXDBUOKFLQ2ENQ · pith_short_8: W4VXDBUO

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/W4VXDBUOKFLQ2ENQ7ZBHBR5C6A \
  | 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: b72b71868e51570d11b0fe4270c7a2f038e0c76f5eb5efd85f9a1971b3636602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede97b2ec73fc24962bf4be18d276432dd32283d67832eb9f45edf9e23c78604",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-02-26T16:07:25Z",
    "title_canon_sha256": "0410a71bcfb96ccc1ff931bba6760995ea21cb44123eec614e3fa0b7499c4d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09423",
    "kind": "arxiv",
    "version": 1
  }
}