Pith Number

pith:EUVA23DA

pith:2017:EUVA23DA3TOSJMHMWYGQWFAWJT

not attested not anchored not stored refs pending

Structure of correlations for the Boltzmann-Grad limit of hard spheres

Ryan Denlinger

arxiv:1707.02274 v2 · 2017-07-07 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EUVA23DA3TOSJMHMWYGQWFAWJT}

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	2026-05-18T00:12:02.552739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

252a0d6c60dcdd24b0ecb60d0b14164cc10241d458ac6af0718b5251162dc725

Aliases

arxiv: 1707.02274 · arxiv_version: 1707.02274v2 · doi: 10.48550/arxiv.1707.02274 · pith_short_12: EUVA23DA3TOS · pith_short_16: EUVA23DA3TOSJMHM · pith_short_8: EUVA23DA

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/EUVA23DA3TOSJMHMWYGQWFAWJT \
  | 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: 252a0d6c60dcdd24b0ecb60d0b14164cc10241d458ac6af0718b5251162dc725

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b96f1fbf9b02df3d1cba18b54307a9f8c63461c2af0484fe635e84a9a9d95a29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-07T17:14:01Z",
    "title_canon_sha256": "ee397e0983b0087e96e5c076559c362ddf591860c43c4b9dd0dcae44b883c881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02274",
    "kind": "arxiv",
    "version": 2
  }
}