Pith Number

pith:ITVMAMTN

pith:2015:ITVMAMTNFYJAPIXKN2DJOISSHU

not attested not anchored not stored refs pending

Learning to school in the presence of hydrodynamic interactions

Alexia de Brauer, Andrew A. Tchieu, Dmitry Alexeev, Mattia Gazzola, Petros Koumoutsakos

arxiv:1509.04605 v1 · 2015-09-15 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITVMAMTNFYJAPIXKN2DJOISSHU}

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	2026-05-18T01:16:48.666942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44eac0326d2e1207a2ea6e869722523d2f7fcca73a8a92ba1e7e95e11b58e442

Aliases

arxiv: 1509.04605 · arxiv_version: 1509.04605v1 · doi: 10.48550/arxiv.1509.04605 · pith_short_12: ITVMAMTNFYJA · pith_short_16: ITVMAMTNFYJAPIXK · pith_short_8: ITVMAMTN

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/ITVMAMTNFYJAPIXKN2DJOISSHU \
  | 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: 44eac0326d2e1207a2ea6e869722523d2f7fcca73a8a92ba1e7e95e11b58e442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de03bc78a3650a6ea4e2f9bb23de052871e4620d6301971b0132c81fc30d823e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-09-15T15:36:58Z",
    "title_canon_sha256": "f866780941b807232693511e801df56167f4d13066244073f0d81f62ff34a819"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04605",
    "kind": "arxiv",
    "version": 1
  }
}