Pith Number

pith:CCCHGKTU

pith:2016:CCCHGKTURATDOJGBM4PMFYX3GJ

not attested not anchored not stored refs pending

Slow entropy for some smooth flows on surfaces

Adam Kanigowski

arxiv:1612.09364 v1 · 2016-12-30 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCCHGKTURATDOJGBM4PMFYX3GJ}

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	2026-05-18T00:53:41.699932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1084732a7488263724c1671ec2e2fb327166a61abb52dc38b7ad3c62188036b5

Aliases

arxiv: 1612.09364 · arxiv_version: 1612.09364v1 · doi: 10.48550/arxiv.1612.09364 · pith_short_12: CCCHGKTURATD · pith_short_16: CCCHGKTURATDOJGB · pith_short_8: CCCHGKTU

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/CCCHGKTURATDOJGBM4PMFYX3GJ \
  | 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: 1084732a7488263724c1671ec2e2fb327166a61abb52dc38b7ad3c62188036b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efb36b7243c96af0fb5249225b13ddd83b19d2d3ecfa373d7270ddc208114972",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-30T01:23:52Z",
    "title_canon_sha256": "4556b9ef5fcb22adcdf67098ae3b2a3654128b08dcedafa37438b43644314091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09364",
    "kind": "arxiv",
    "version": 1
  }
}