Pith Number

pith:EXGTTYOP

pith:2013:EXGTTYOPNRQ56A53XHXHVJFKKW

not attested not anchored not stored refs pending

Trajectory Statistical Solutions for three-dimensional Navier-Stokes-like systems

Anne Bronzi, Cecilia Mondaini, Ricardo Rosa

arxiv:1307.7003 v1 · 2013-07-26 · 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{EXGTTYOPNRQ56A53XHXHVJFKKW}

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	2026-05-18T02:20:47.785711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25cd39e1cf6c61df03bbb9ee7aa4aa55b07f4e0bc31e703678dc104184a1289f

Aliases

arxiv: 1307.7003 · arxiv_version: 1307.7003v1 · doi: 10.48550/arxiv.1307.7003 · pith_short_12: EXGTTYOPNRQ5 · pith_short_16: EXGTTYOPNRQ56A53 · pith_short_8: EXGTTYOP

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/EXGTTYOPNRQ56A53XHXHVJFKKW \
  | 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: 25cd39e1cf6c61df03bbb9ee7aa4aa55b07f4e0bc31e703678dc104184a1289f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c80d984a9811a59ade05ca9b4537ab33d2eb938cdbaaf2b22a3adcab9666253",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-26T11:45:53Z",
    "title_canon_sha256": "3d2d8e593c76d78c94fb454568fc8749330d398cbb214e3d4c63554f6dff036c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7003",
    "kind": "arxiv",
    "version": 1
  }
}