Pith Number

pith:7BIA2UZD

pith:2019:7BIA2UZDJ2ET6VH2A44D5QC3S3

not attested not anchored not stored refs pending

Finite energy weak solution of 2d Boussinesq equation with diffusive temperature

Liqun Zhang, Tao Tao, Tianwen Luo

arxiv:1901.09179 v1 · 2019-01-26 · 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{7BIA2UZDJ2ET6VH2A44D5QC3S3}

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	2026-05-17T23:55:26.674062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8500d53234e893f54fa07383ec05b96f82e6194dab07fdde5c6e043cbdfaa67

Aliases

arxiv: 1901.09179 · arxiv_version: 1901.09179v1 · doi: 10.48550/arxiv.1901.09179 · pith_short_12: 7BIA2UZDJ2ET · pith_short_16: 7BIA2UZDJ2ET6VH2 · pith_short_8: 7BIA2UZD

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/7BIA2UZDJ2ET6VH2A44D5QC3S3 \
  | 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: f8500d53234e893f54fa07383ec05b96f82e6194dab07fdde5c6e043cbdfaa67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755d5ae47cfd6638e4d5043ef9d420acfd874f8df7e5a7155dee673cd4361679",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-26T08:55:03Z",
    "title_canon_sha256": "cb2693a84fc0aa02aea6887c61834eb1ac0475b5dbf15da644a0d753b409ff88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09179",
    "kind": "arxiv",
    "version": 1
  }
}