Pith Number

pith:UJNYJ2AH

pith:2017:UJNYJ2AHC6GJMBZPTJ7FX6D2ML

not attested not anchored not stored refs pending

Twisted Recurrence via Polynomial Walks

Alexander Fish, Kamil Bulinski

arxiv:1706.07921 v1 · 2017-06-24 · math.DS · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJNYJ2AHC6GJMBZPTJ7FX6D2ML}

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	2026-05-18T00:41:47.111645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a25b84e807178c96072f9a7e5bf87a62cc229e2c256cca2d4968633a9528b195

Aliases

arxiv: 1706.07921 · arxiv_version: 1706.07921v1 · doi: 10.48550/arxiv.1706.07921 · pith_short_12: UJNYJ2AHC6GJ · pith_short_16: UJNYJ2AHC6GJMBZP · pith_short_8: UJNYJ2AH

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/UJNYJ2AHC6GJMBZPTJ7FX6D2ML \
  | 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: a25b84e807178c96072f9a7e5bf87a62cc229e2c256cca2d4968633a9528b195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3ab364cd37660ec0b1318bae2d9a2711444dba76c37ee13ffe7db27cdd8ee1c",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-24T08:10:31Z",
    "title_canon_sha256": "71c22e882421747c2e0cdb885286a9fcaed5d6f0a0caa8879eaa6f1f7f9f3d8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07921",
    "kind": "arxiv",
    "version": 1
  }
}