Pith Number

pith:CT3S2EAC

pith:2012:CT3S2EACLN3BX7OW53VTVJFYCB

not attested not anchored not stored refs pending

Localized energy equalities for the Navier-Stokes and the Euler equations

Dongho Chae

arxiv:1209.4432 v5 · 2012-09-20 · 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{CT3S2EACLN3BX7OW53VTVJFYCB}

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	2026-05-18T03:42:25.146911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14f72d10025b761bfdd6eeeb3aa4b810745b5fa1cd578521ffa15b8dec334961

Aliases

arxiv: 1209.4432 · arxiv_version: 1209.4432v5 · doi: 10.48550/arxiv.1209.4432 · pith_short_12: CT3S2EACLN3B · pith_short_16: CT3S2EACLN3BX7OW · pith_short_8: CT3S2EAC

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/CT3S2EACLN3BX7OW53VTVJFYCB \
  | 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: 14f72d10025b761bfdd6eeeb3aa4b810745b5fa1cd578521ffa15b8dec334961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35829be6f6e6b977535949530b31d65fe2ef951191be6bfe72794b0ff05d3817",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-20T05:42:16Z",
    "title_canon_sha256": "184142e3f51885332bbdc7b043d73faed3fe659d417a0058bc45c60836233f78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4432",
    "kind": "arxiv",
    "version": 5
  }
}