Pith Number

pith:6SE56VSC

pith:2016:6SE56VSCGGX7375EZ4SMYNN2FM

not attested not anchored not stored refs pending

Weak containment and Rokhlin entropy

Brandon Seward

arxiv:1602.06680 v2 · 2016-02-22 · 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{6SE56VSCGGX7375EZ4SMYNN2FM}

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	2026-05-18T00:43:30.788348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f489df564231affdffa4cf24cc35ba2b177affa5cde786945c98426ee64837f4

Aliases

arxiv: 1602.06680 · arxiv_version: 1602.06680v2 · doi: 10.48550/arxiv.1602.06680 · pith_short_12: 6SE56VSCGGX7 · pith_short_16: 6SE56VSCGGX7375E · pith_short_8: 6SE56VSC

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/6SE56VSCGGX7375EZ4SMYNN2FM \
  | 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: f489df564231affdffa4cf24cc35ba2b177affa5cde786945c98426ee64837f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d36f058f06ca9eb8f84d926dd722825f2db6aac2536c8d7f350c647b06c8356b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-02-22T08:34:25Z",
    "title_canon_sha256": "3f793dc901093721a97bb405e9d82adef4bf192ce1554694e20b4c2538af0d84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06680",
    "kind": "arxiv",
    "version": 2
  }
}