Pith Number

pith:5UTBRDKG

pith:2017:5UTBRDKGIRCRBUTYWV3XWJYCFS

not attested not anchored not stored refs pending

Tree shift topological entropy

Ibrahim Salama, Karl Petersen

arxiv:1712.02251 v5 · 2017-12-06 · 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{5UTBRDKGIRCRBUTYWV3XWJYCFS}

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	2026-05-18T00:14:54.109722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed26188d46444510d278b5777b27022c94cd9607ddae28149abf7226ec9d6116

Aliases

arxiv: 1712.02251 · arxiv_version: 1712.02251v5 · doi: 10.48550/arxiv.1712.02251 · pith_short_12: 5UTBRDKGIRCR · pith_short_16: 5UTBRDKGIRCRBUTY · pith_short_8: 5UTBRDKG

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/5UTBRDKGIRCRBUTYWV3XWJYCFS \
  | 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: ed26188d46444510d278b5777b27022c94cd9607ddae28149abf7226ec9d6116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5279cddffc2ab7659d3009a43bcab78da3bac7fb44e761941ca0861fe708819d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-06T16:06:15Z",
    "title_canon_sha256": "9ac46b2895faf473f2aec9731269f91a8ecdf08322b72dd071fe96c4754d06cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02251",
    "kind": "arxiv",
    "version": 5
  }
}