Pith Number

pith:NTOGSBGR

pith:2016:NTOGSBGRTV25FXRZOKIHIUYNK6

not attested not anchored not stored refs pending

Cauchy problem to the homogeneous Boltzmann equation with Debye-Yukawa potential for measure initial datum

Hao-Guang Li

arxiv:1610.03707 v1 · 2016-10-12 · 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{NTOGSBGRTV25FXRZOKIHIUYNK6}

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	2026-05-18T01:02:29.492664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cdc6904d19d75d2de39729074530d5790aae3f1fc2cbc935e3cdfff3fd2e64f

Aliases

arxiv: 1610.03707 · arxiv_version: 1610.03707v1 · doi: 10.48550/arxiv.1610.03707 · pith_short_12: NTOGSBGRTV25 · pith_short_16: NTOGSBGRTV25FXRZ · pith_short_8: NTOGSBGR

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/NTOGSBGRTV25FXRZOKIHIUYNK6 \
  | 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: 6cdc6904d19d75d2de39729074530d5790aae3f1fc2cbc935e3cdfff3fd2e64f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f59c6d4ffbe829d12c39df46410d6bd046c0e8353444e772d68e2dd68568dde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-12T13:33:58Z",
    "title_canon_sha256": "d894acdf55dec443c185d544fd76e27590666d041d403aac66dd72aa633552fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03707",
    "kind": "arxiv",
    "version": 1
  }
}