Pith Number

pith:TXKBJSHS

pith:2017:TXKBJSHSEGH7LKFOCTFL7I3P3Q

not attested not anchored not stored refs pending

Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with nonlinear diffusion

Jiashan Zheng

arxiv:1701.02060 v2 · 2017-01-09 · 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{TXKBJSHSEGH7LKFOCTFL7I3P3Q}

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	2026-05-18T00:46:48.567917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dd414c8f2218ff5a8ae14cabfa36fdc1ea80ba3a33494c7cc32d9c8bda2cd47

Aliases

arxiv: 1701.02060 · arxiv_version: 1701.02060v2 · doi: 10.48550/arxiv.1701.02060 · pith_short_12: TXKBJSHSEGH7 · pith_short_16: TXKBJSHSEGH7LKFO · pith_short_8: TXKBJSHS

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/TXKBJSHSEGH7LKFOCTFL7I3P3Q \
  | 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: 9dd414c8f2218ff5a8ae14cabfa36fdc1ea80ba3a33494c7cc32d9c8bda2cd47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b175bb0231ef9877e0c82b40f2843f1f09e3fe46ce9babc1c456262eec5a920a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-09T04:06:42Z",
    "title_canon_sha256": "7b0fe1fd7aa48b941d6b43c12a3851bcfa47f90155762b771604530872b88157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02060",
    "kind": "arxiv",
    "version": 2
  }
}