Pith Number

pith:JXL26MCR

pith:2026:JXL26MCR25XX47FCFO7VIBLB3I

not attested not anchored not stored refs pending

Ollivier-Ricci Curvature for Causal Sets

Joe Barton, Jona R\"ohrig, Samu\"el Borza

arxiv:2606.04910 v1 · 2026-06-03 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXL26MCR25XX47FCFO7VIBLB3I}

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	2026-06-04T01:09:54.986419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dd7af3051d76f7e7ca22bbf540561da1b9b5d12b46b86ba84f5dc1e5b0bc071

Aliases

arxiv: 2606.04910 · arxiv_version: 2606.04910v1 · doi: 10.48550/arxiv.2606.04910 · pith_short_12: JXL26MCR25XX · pith_short_16: JXL26MCR25XX47FC · pith_short_8: JXL26MCR

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/JXL26MCR25XX47FCFO7VIBLB3I \
  | 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: 4dd7af3051d76f7e7ca22bbf540561da1b9b5d12b46b86ba84f5dc1e5b0bc071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae5433a2e0a948a4d36c2b1fc9f45b45f356c7d6b27f99688ece2e2b0e991d0e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-03T14:06:41Z",
    "title_canon_sha256": "8433c2767f00cf05ebf300fcf409e0100c21cde67578861144ca31bcb026d414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04910",
    "kind": "arxiv",
    "version": 1
  }
}