Pith Number

pith:4RHQYHVB

pith:2012:4RHQYHVBHRESZUP77G6DDOORFC

not attested not anchored not stored refs pending

Revealing the state space of turbulent pipe flow by symmetry reduction

Ashley P. Willis, Marc Avila, Predrag Cvitanovic

arxiv:1203.3701 v1 · 2012-03-16 · 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{4RHQYHVBHRESZUP77G6DDOORFC}

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	2026-05-18T01:58:06.663752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e44f0c1ea13c492cd1fff9bc31b9d128bc0f56a501ae39ebe4661266dd1e299d

Aliases

arxiv: 1203.3701 · arxiv_version: 1203.3701v1 · doi: 10.48550/arxiv.1203.3701 · pith_short_12: 4RHQYHVBHRES · pith_short_16: 4RHQYHVBHRESZUP7 · pith_short_8: 4RHQYHVB

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/4RHQYHVBHRESZUP77G6DDOORFC \
  | 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: e44f0c1ea13c492cd1fff9bc31b9d128bc0f56a501ae39ebe4661266dd1e299d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2072f1410f842addb7e0cd6e67f07239ae7ebea3151acb4b7dcf74a5a3c49b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2012-03-16T13:27:55Z",
    "title_canon_sha256": "aa2f661598419520d69d5f6fce9414fdaa1bdd53317f396806505397c0d1c67c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3701",
    "kind": "arxiv",
    "version": 1
  }
}