Pith Number

pith:QBHPV7HK

pith:2013:QBHPV7HKH3V7D6PAKTAKX3MKBI

not attested not anchored not stored refs pending

Global well-posedness in spatially critical Besov space for the Boltzmann equation

Jiang Xu, Renjun Duan, Shuangqian Liu

arxiv:1310.2727 v1 · 2013-10-10 · 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{QBHPV7HKH3V7D6PAKTAKX3MKBI}

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	2026-05-18T03:10:46.827208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

804efafcea3eebf1f9e054c0abed8a0a37d8febddbefb5cd6312ae9aa67cc20d

Aliases

arxiv: 1310.2727 · arxiv_version: 1310.2727v1 · doi: 10.48550/arxiv.1310.2727 · pith_short_12: QBHPV7HKH3V7 · pith_short_16: QBHPV7HKH3V7D6PA · pith_short_8: QBHPV7HK

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/QBHPV7HKH3V7D6PAKTAKX3MKBI \
  | 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: 804efafcea3eebf1f9e054c0abed8a0a37d8febddbefb5cd6312ae9aa67cc20d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df820bada9b991d50d0a252787f41a82c9474462b0df43ae267944acf9e6a049",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-10T08:05:20Z",
    "title_canon_sha256": "0320ed8d96314ef9d771e26e256b548155888c7441d0a9bbac8f6f0a138fa56f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2727",
    "kind": "arxiv",
    "version": 1
  }
}