Pith Number

pith:UKKGQP5D

pith:2013:UKKGQP5DS5JBYCASU25OEEQFNG

not attested not anchored not stored refs pending

A categorical invariant of flow equivalence of shifts

Alfredo Costa, Benjamin Steinberg

arxiv:1304.3487 v2 · 2013-04-11 · math.DS · cs.FL · math.CT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKKGQP5DS5JBYCASU25OEEQFNG}

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	2026-05-17T23:53:35.676165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a294683fa397521c0812a6bae2120569a927658f3eafe839f9ab34e7018c0ebd

Aliases

arxiv: 1304.3487 · arxiv_version: 1304.3487v2 · doi: 10.48550/arxiv.1304.3487 · pith_short_12: UKKGQP5DS5JB · pith_short_16: UKKGQP5DS5JBYCAS · pith_short_8: UKKGQP5D

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/UKKGQP5DS5JBYCASU25OEEQFNG \
  | 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: a294683fa397521c0812a6bae2120569a927658f3eafe839f9ab34e7018c0ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d53e2c95b3f9e4ed90df6cd0a73279770e769650c5b6458a2c8461e7bf37df5e",
    "cross_cats_sorted": [
      "cs.FL",
      "math.CT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-11T21:15:03Z",
    "title_canon_sha256": "15e8e709e1eaedbd81d4aae38d1fe3dad3a2a9e4afbe54d1acce8c112e666a77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3487",
    "kind": "arxiv",
    "version": 2
  }
}