Pith Number

pith:7WZSAXXO

pith:2015:7WZSAXXODB6QDLA5Y4PWNHDHCA

not attested not anchored not stored refs pending

Series solutions to the 3D cauchy problem for some incompressible Navier-Stokes and Euler Equations

Alatancang, Tao Zhang

arxiv:1507.08598 v2 · 2015-07-17 · 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{7WZSAXXODB6QDLA5Y4PWNHDHCA}

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	2026-05-18T01:21:41.735651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdb3205eee187d01ac1dc71f669c671025461cf99a89a35ecc79c2869f68f2c6

Aliases

arxiv: 1507.08598 · arxiv_version: 1507.08598v2 · doi: 10.48550/arxiv.1507.08598 · pith_short_12: 7WZSAXXODB6Q · pith_short_16: 7WZSAXXODB6QDLA5 · pith_short_8: 7WZSAXXO

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/7WZSAXXODB6QDLA5Y4PWNHDHCA \
  | 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: fdb3205eee187d01ac1dc71f669c671025461cf99a89a35ecc79c2869f68f2c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c481cfc000dbf7f86035dc4bf33009c20dbe223d300976efbf4a47add9ec0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-17T08:54:09Z",
    "title_canon_sha256": "47a123daa2ef3c3c9435be9c2889e4e574b025cf02d41335768c5f1aa1e09a76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08598",
    "kind": "arxiv",
    "version": 2
  }
}