Pith Number

pith:7JAMC4D2

pith:2013:7JAMC4D2S3CLASUPDW4VBWBNK3

not attested not anchored not stored refs pending

Local Existence for the Spatially Homogeneous Boltzmann Equation with Soft Potentials

Yong-Kum Cho

arxiv:1305.3037 v2 · 2013-05-14 · 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{7JAMC4D2S3CLASUPDW4VBWBNK3}

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	2026-05-18T01:28:35.488021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa40c1707a96c4b04a8f1db950d82d56c5ddb16bb06bdb426564c072c4de18b0

Aliases

arxiv: 1305.3037 · arxiv_version: 1305.3037v2 · doi: 10.48550/arxiv.1305.3037 · pith_short_12: 7JAMC4D2S3CL · pith_short_16: 7JAMC4D2S3CLASUP · pith_short_8: 7JAMC4D2

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/7JAMC4D2S3CLASUPDW4VBWBNK3 \
  | 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: fa40c1707a96c4b04a8f1db950d82d56c5ddb16bb06bdb426564c072c4de18b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "980b0f9a8e0d262a1b0ea69f006b1ac62e118f57e08d3e847cd86ac079160993",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-14T06:53:53Z",
    "title_canon_sha256": "f298d80469abc63943bac269404585b504749630365141b02db2e7e39c20ffbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3037",
    "kind": "arxiv",
    "version": 2
  }
}