Pith Number

pith:IPHFOD6A

pith:2017:IPHFOD6ABBVHQUCTNODCD3GWHE

not attested not anchored not stored refs pending

Upper bounds for the function solution of the homogenuous 2D Boltzmann equation with hard potential

MATHRISK), Vlad Bally (LAMA

arxiv:1710.00695 v2 · 2017-10-02 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPHFOD6ABBVHQUCTNODCD3GWHE}

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	2026-05-18T00:16:56.158614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43ce570fc0086a7850536b8621ecd6392758fe81ba91ecef642c9c0b756ce8a6

Aliases

arxiv: 1710.00695 · arxiv_version: 1710.00695v2 · doi: 10.48550/arxiv.1710.00695 · pith_short_12: IPHFOD6ABBVH · pith_short_16: IPHFOD6ABBVHQUCT · pith_short_8: IPHFOD6A

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/IPHFOD6ABBVHQUCTNODCD3GWHE \
  | 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: 43ce570fc0086a7850536b8621ecd6392758fe81ba91ecef642c9c0b756ce8a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c315df6a90c82baaf8a43795e246274498bfbf698360efb8bc2e07a482fd0f62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-02T14:37:54Z",
    "title_canon_sha256": "7156b9093843b298cbf5fbb93bf654bd41cb6da250fe0f77db13d0010c0728ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00695",
    "kind": "arxiv",
    "version": 2
  }
}