Pith Number

pith:GTUHVP6N

pith:2013:GTUHVP6NHXTQ6K4DRKNFSSXOMD

not attested not anchored not stored refs pending

Linear difference equations, frieze patterns and combinatorial Gale transform

Richard Evan Schwartz, Serge Tabachnikov, Sophie Morier-Genoud, Valentin Ovsienko

arxiv:1309.3880 v1 · 2013-09-16 · math.CO · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTUHVP6NHXTQ6K4DRKNFSSXOMD}

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	2026-05-18T03:13:12.013278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e87abfcd3de70f2b838a9a594aee60d414753fe2970adcbf8c1e04d0552a3f

Aliases

arxiv: 1309.3880 · arxiv_version: 1309.3880v1 · doi: 10.48550/arxiv.1309.3880 · pith_short_12: GTUHVP6NHXTQ · pith_short_16: GTUHVP6NHXTQ6K4D · pith_short_8: GTUHVP6N

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/GTUHVP6NHXTQ6K4DRKNFSSXOMD \
  | 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: 34e87abfcd3de70f2b838a9a594aee60d414753fe2970adcbf8c1e04d0552a3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a09866ad3a26ed9e0f2b66438a0a3d66de7061fd5bfca49022899c0696a936b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-16T09:46:21Z",
    "title_canon_sha256": "4e6c05a12b2c88939e5a60539cf8982f5e8c6167a69846b487638e459c9d4c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3880",
    "kind": "arxiv",
    "version": 1
  }
}