Pith Number

pith:VFGPNRUN

pith:2017:VFGPNRUNNPVBATL3MDXVFUINOF

not attested not anchored not stored refs pending

The global existence and large time behavior of smooth compressible fluid in an infinitely expanding ball, III: the 3-D Boltzmann equation

Huicheng Yin, Wenbin Zhao

arxiv:1706.01186 v1 · 2017-06-05 · 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{VFGPNRUNNPVBATL3MDXVFUINOF}

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	2026-05-18T00:43:04.255226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a94cf6c68d6bea104d7b60ef52d10d7159564f749ed0af0c4b0c6be0fb23e617

Aliases

arxiv: 1706.01186 · arxiv_version: 1706.01186v1 · doi: 10.48550/arxiv.1706.01186 · pith_short_12: VFGPNRUNNPVB · pith_short_16: VFGPNRUNNPVBATL3 · pith_short_8: VFGPNRUN

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/VFGPNRUNNPVBATL3MDXVFUINOF \
  | 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: a94cf6c68d6bea104d7b60ef52d10d7159564f749ed0af0c4b0c6be0fb23e617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a2e77a7a6897a83ce92d2a34af2114b5d88b5324b5aa7445efaa4b0f3ae8b15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-05T04:03:14Z",
    "title_canon_sha256": "ff6cfbbaa4acaaca5478cb1a05e31c947ae342aaef37053fec7eea78db0c60cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01186",
    "kind": "arxiv",
    "version": 1
  }
}