Pith Number

pith:Q7HLDR6Y

pith:2016:Q7HLDR6YONVVS62F2F5DLYWTGG

not attested not anchored not stored refs pending

The spacetime of a shift endomorphism

Bryna Kra, John Franks, Van Cyr

arxiv:1610.07923 v2 · 2016-10-25 · 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{Q7HLDR6YONVVS62F2F5DLYWTGG}

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	2026-05-18T00:38:18.526782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87ceb1c7d8736b597b45d17a35e2d33186ed94709085b3c3dce0d8def7ab8ed0

Aliases

arxiv: 1610.07923 · arxiv_version: 1610.07923v2 · doi: 10.48550/arxiv.1610.07923 · pith_short_12: Q7HLDR6YONVV · pith_short_16: Q7HLDR6YONVVS62F · pith_short_8: Q7HLDR6Y

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/Q7HLDR6YONVVS62F2F5DLYWTGG \
  | 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: 87ceb1c7d8736b597b45d17a35e2d33186ed94709085b3c3dce0d8def7ab8ed0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fbbbec2026052b90138b80052ad94ad20d1ab451403f9f68b01ad91b17203bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-25T15:33:12Z",
    "title_canon_sha256": "8c5348a9e7979ceeb576534ef3512e7afa71a9af3937e94319a85017b323a87f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07923",
    "kind": "arxiv",
    "version": 2
  }
}