Pith Number

pith:WHV6ZRPV

pith:2026:WHV6ZRPV3CKX62R46FWGAIELJF

not attested not anchored not stored refs pending

Les Houches lectures on Spinfoam Path Integrals

Etera R. Livine, Oleksandra Hrytseniak, Valentine Maris

arxiv:2607.22412 v1 · 2026-07-24 · 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{WHV6ZRPV3CKX62R46FWGAIELJF}

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	2026-07-27T01:21:19.705127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1ebecc5f5d8957f6a3cf16c60208b49505498673e837d8a8073efd96ecd0407

Aliases

arxiv: 2607.22412 · arxiv_version: 2607.22412v1 · doi: 10.48550/arxiv.2607.22412 · pith_short_12: WHV6ZRPV3CKX · pith_short_16: WHV6ZRPV3CKX62R4 · pith_short_8: WHV6ZRPV

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/WHV6ZRPV3CKX62R46FWGAIELJF \
  | 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: b1ebecc5f5d8957f6a3cf16c60208b49505498673e837d8a8073efd96ecd0407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38c45fd7bd83821a274efe3912e5d56a774435cf8ed1e63fb09cd0aec6afc160",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-24T15:28:54Z",
    "title_canon_sha256": "c29fe1dfe7a5288312cd27c4c755aad969a03575b45b2b86386b50ba85d53d6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22412",
    "kind": "arxiv",
    "version": 1
  }
}