Pith Number

pith:7VP77N37

pith:2007:7VP77N37NQ7GG2M67I4VUPSHWP

not attested not anchored not stored refs pending

A New Spin Foam Model for 4d Gravity

Kirill Krasnov, Laurent Freidel

arxiv:0708.1595 v2 · 2007-08-13 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VP77N37NQ7GG2M67I4VUPSHWP}

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	2026-07-04T15:28:29.954479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5fffb77f6c3e63699efa395a3e47b3c478bd2ccbbf6291068a2caea93815b4

Aliases

arxiv: 0708.1595 · arxiv_version: 0708.1595v2 · doi: 10.48550/arxiv.0708.1595 · pith_short_12: 7VP77N37NQ7G · pith_short_16: 7VP77N37NQ7GG2M6 · pith_short_8: 7VP77N37

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/7VP77N37NQ7GG2M67I4VUPSHWP \
  | 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: fd5fffb77f6c3e63699efa395a3e47b3c478bd2ccbbf6291068a2caea93815b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e021fc0f5307116e565977d45fe4d7687fd5e6d85bc3456a20186c98b1283d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-08-13T14:05:22Z",
    "title_canon_sha256": "5411eeeac945ef3428a6e8e63160c772ef594a18b4baa8379c1c2512fc71760a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.1595",
    "kind": "arxiv",
    "version": 2
  }
}