Pith Number

pith:55OOLMKP

pith:2017:55OOLMKPBFPMDA674EWGRQNHRE

not attested not anchored not stored refs pending

Cellular mixing with bounded palenstrophy

Christian Schulze, Gianluca Crippa

arxiv:1707.01352 v1 · 2017-07-05 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55OOLMKPBFPMDA674EWGRQNHRE}

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	2026-05-18T00:40:53.020837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef5ce5b14f095ec183dfe12c68c1a78909770b667214fd1f7dc8f47004e4f0ec

Aliases

arxiv: 1707.01352 · arxiv_version: 1707.01352v1 · doi: 10.48550/arxiv.1707.01352 · pith_short_12: 55OOLMKPBFPM · pith_short_16: 55OOLMKPBFPMDA67 · pith_short_8: 55OOLMKP

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/55OOLMKPBFPMDA674EWGRQNHRE \
  | 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: ef5ce5b14f095ec183dfe12c68c1a78909770b667214fd1f7dc8f47004e4f0ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64c657bfbc3072428a72988e4ea8f06a5125bcc57dbf3f49a51c3852e6aa47f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-05T12:22:56Z",
    "title_canon_sha256": "2059d83bec80ea68411832a72f7146e022ac8cd718565703c72e426ebbe3d902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01352",
    "kind": "arxiv",
    "version": 1
  }
}