Pith Number

pith:GE72ETK6

pith:2014:GE72ETK66HCLQ2OVWPGQDJJFHL

not attested not anchored not stored refs pending

A new characterization and global regularity of infinite energy solutions to the homogeneous Boltzmann equation

Shuaikun Wang, Tong Yang, Yoshinori Morimoto

arxiv:1407.7701 v1 · 2014-07-29 · 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{GE72ETK66HCLQ2OVWPGQDJJFHL}

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	2026-05-18T02:46:22.008791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

313fa24d5ef1c4b869d5b3cd01a5253ae699ae4567040240b04abbcc004afda1

Aliases

arxiv: 1407.7701 · arxiv_version: 1407.7701v1 · doi: 10.48550/arxiv.1407.7701 · pith_short_12: GE72ETK66HCL · pith_short_16: GE72ETK66HCLQ2OV · pith_short_8: GE72ETK6

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/GE72ETK66HCLQ2OVWPGQDJJFHL \
  | 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: 313fa24d5ef1c4b869d5b3cd01a5253ae699ae4567040240b04abbcc004afda1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4adc63dab2fbeded0a852e95008d2b9a02a34893ad197dfcfe97cdb06fe0644",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-29T11:44:52Z",
    "title_canon_sha256": "a273f64f2e0d93e20fbb51180d16a3513c123a49a0cb0bcef450d1d468701e43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7701",
    "kind": "arxiv",
    "version": 1
  }
}