Pith Number

pith:TAKPTODK

pith:2014:TAKPTODKKA7QZC6H2ZTQB3TIWH

not attested not anchored not stored refs pending

Hydrodynamics on non-commutative space --A step toward hydrodynamics of granular materials--

Akio Sugamoto, Kazuharu Bamba, Mayumi Saitou

arxiv:1408.3885 v3 · 2014-08-18 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAKPTODKKA7QZC6H2ZTQB3TIWH}

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	2026-05-18T02:39:40.165420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9814f9b86a503f0c8bc7d66700ee68b1e5bb73c269632610c4b6e64033bf666d

Aliases

arxiv: 1408.3885 · arxiv_version: 1408.3885v3 · doi: 10.48550/arxiv.1408.3885 · pith_short_12: TAKPTODKKA7Q · pith_short_16: TAKPTODKKA7QZC6H · pith_short_8: TAKPTODK

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/TAKPTODKKA7QZC6H2ZTQB3TIWH \
  | 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: 9814f9b86a503f0c8bc7d66700ee68b1e5bb73c269632610c4b6e64033bf666d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247c20678ff62b41b1fa694ce0727f402dc224099e7c6ab754ed48061fc66172",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-08-18T02:00:19Z",
    "title_canon_sha256": "fe430ed24541ac42d4078e14e3739c7c21fb633da4473fbe7681ec92ccad0b45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3885",
    "kind": "arxiv",
    "version": 3
  }
}