Pith Number

pith:XMY5DT7D

pith:2025:XMY5DT7DTY2FCL4PW4QBIBA44Y

not attested not anchored not stored refs pending

Fisher information for solutions of the Boltzmann equation

Cyril Imbert (DMA)

arxiv:2509.03045 v1 · 2025-09-03 · 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{XMY5DT7DTY2FCL4PW4QBIBA44Y}

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	2026-07-05T12:04:02.710385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb31d1cfe39e34512f8fb72014041ce609d525b2831fdbce2f51ad7943ecb970

Aliases

arxiv: 2509.03045 · arxiv_version: 2509.03045v1 · doi: 10.48550/arxiv.2509.03045 · pith_short_12: XMY5DT7DTY2F · pith_short_16: XMY5DT7DTY2FCL4P · pith_short_8: XMY5DT7D

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/XMY5DT7DTY2FCL4PW4QBIBA44Y \
  | 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: bb31d1cfe39e34512f8fb72014041ce609d525b2831fdbce2f51ad7943ecb970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86fe2687d10d0d3ad770087b736ff5eeafc10cca1ebb071ee9cd257b93483624",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-09-03T06:15:39Z",
    "title_canon_sha256": "35b0dc914362b65a0c96188b43cc96ffef712437d38872436e8d4f1ff99aab59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03045",
    "kind": "arxiv",
    "version": 1
  }
}