Pith Number

pith:BDUK7V5S

pith:2015:BDUK7V5STXDKELQZRCQTFQ3DSY

not attested not anchored not stored refs pending

Variational principle for Gibbs point processes with finite range interaction

David Dereudre

arxiv:1506.05000 v1 · 2015-06-16 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDUK7V5STXDKELQZRCQTFQ3DSY}

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	2026-05-18T01:48:05.255674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e8afd7b29dc6a22e1988a132c363960ef34cc5a4f42f8e8d5f1eb83e87d124

Aliases

arxiv: 1506.05000 · arxiv_version: 1506.05000v1 · doi: 10.48550/arxiv.1506.05000 · pith_short_12: BDUK7V5STXDK · pith_short_16: BDUK7V5STXDKELQZ · pith_short_8: BDUK7V5S

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/BDUK7V5STXDKELQZRCQTFQ3DSY \
  | 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: 08e8afd7b29dc6a22e1988a132c363960ef34cc5a4f42f8e8d5f1eb83e87d124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2667b08e8f6238996531a799c256a221cf50e466318bd7144ee27ad3b39bd8de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-16T15:18:02Z",
    "title_canon_sha256": "8e1a460342e2aaa6a5cdbaef429470827e4562ec6b99929904b0df8f54b6198c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05000",
    "kind": "arxiv",
    "version": 1
  }
}