Pith Number

pith:KDXPINEV

pith:2015:KDXPINEVBDBXILG74VTQ5E5UIH

not attested not anchored not stored refs pending

Large density expansion of a hydrodynamic theory for self-propelled particles

Thomas Ihle

arxiv:1501.03570 v1 · 2015-01-15 · cond-mat.stat-mech · physics.bio-ph · 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{KDXPINEVBDBXILG74VTQ5E5UIH}

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	2026-05-18T01:36:33.997905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50eef4349508c3742cdfe5670e93b441ca9831a57dbc802bf7230afce67a89b4

Aliases

arxiv: 1501.03570 · arxiv_version: 1501.03570v1 · doi: 10.48550/arxiv.1501.03570 · pith_short_12: KDXPINEVBDBX · pith_short_16: KDXPINEVBDBXILG7 · pith_short_8: KDXPINEV

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/KDXPINEVBDBXILG74VTQ5E5UIH \
  | 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: 50eef4349508c3742cdfe5670e93b441ca9831a57dbc802bf7230afce67a89b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d668814ff5e797f822bb50a67bec530ac736990835b29cc8cbd04fc5ceebc8f",
    "cross_cats_sorted": [
      "physics.bio-ph",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-01-15T04:35:03Z",
    "title_canon_sha256": "b5b333dd3efc35780e0fc9288d80c4e06f725c0ca7268d121e1e37c75863779e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03570",
    "kind": "arxiv",
    "version": 1
  }
}