Pith Number

pith:J4DHDP4Z

pith:2015:J4DHDP4ZY4TWYGMD5WKM6AR7OJ

not attested not anchored not stored refs pending

The instanton method and its numerical implementation in fluid mechanics

Rainer Grauer, Tobias Grafke, Tobias Sch\"afer

arxiv:1506.08745 v2 · 2015-06-29 · physics.flu-dyn · cond-mat.stat-mech · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4DHDP4ZY4TWYGMD5WKM6AR7OJ}

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	2026-05-18T01:34:15.857629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f0671bf99c7276c1983ed94cf023f7243bf3559c55e0058bda7c6c37b08fe73

Aliases

arxiv: 1506.08745 · arxiv_version: 1506.08745v2 · doi: 10.48550/arxiv.1506.08745 · pith_short_12: J4DHDP4ZY4TW · pith_short_16: J4DHDP4ZY4TWYGMD · pith_short_8: J4DHDP4Z

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/J4DHDP4ZY4TWYGMD5WKM6AR7OJ \
  | 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: 4f0671bf99c7276c1983ed94cf023f7243bf3559c55e0058bda7c6c37b08fe73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffa11333b91f7572b526733666de036f3976e9be74fa915e887b07d3bf6a2ff7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-06-29T17:34:42Z",
    "title_canon_sha256": "99c547f5c8adcd66e64282e5c8e45557f7c2913fab68950bc1bc0ec8f41e06a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08745",
    "kind": "arxiv",
    "version": 2
  }
}