Pith Number

pith:SRCZGKUM

pith:2012:SRCZGKUMT35SKQTI2U6SKR63Z3

not attested not anchored not stored refs pending

Villani conjecture on smoothing effect of the homogeneous Boltzmann equation with measure initial datum

Tong Yang, Yoshinori Morimoto

arxiv:1210.0296 v2 · 2012-10-01 · 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{SRCZGKUMT35SKQTI2U6SKR63Z3}

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	2026-05-18T03:14:06.946954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9445932a8c9efb254268d53d2547dbcec00961816bde2d17db205cc15b3d61f0

Aliases

arxiv: 1210.0296 · arxiv_version: 1210.0296v2 · doi: 10.48550/arxiv.1210.0296 · pith_short_12: SRCZGKUMT35S · pith_short_16: SRCZGKUMT35SKQTI · pith_short_8: SRCZGKUM

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/SRCZGKUMT35SKQTI2U6SKR63Z3 \
  | 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: 9445932a8c9efb254268d53d2547dbcec00961816bde2d17db205cc15b3d61f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "decfa3ad2f097383f7dde1ea3b41121ed851253d17e67059737fedcca00c12c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-01T06:48:25Z",
    "title_canon_sha256": "8a6443e8a66639a537dae5cb32f688b21221642c552d18063b5c10d97ebfecdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0296",
    "kind": "arxiv",
    "version": 2
  }
}