Pith Number

pith:D4BFJ2A4

pith:2016:D4BFJ2A4SXDVMXR7KBG3UWURAQ

not attested not anchored not stored refs pending

A non-backtracking Polya's theorem

Mark Kempton

arxiv:1610.04672 v1 · 2016-10-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4BFJ2A4SXDVMXR7KBG3UWURAQ}

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	2026-05-18T01:02:11.840714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f0254e81c95c7565e3f504dba5a910430f955a52de0dc588f558657e33c055d

Aliases

arxiv: 1610.04672 · arxiv_version: 1610.04672v1 · doi: 10.48550/arxiv.1610.04672 · pith_short_12: D4BFJ2A4SXDV · pith_short_16: D4BFJ2A4SXDVMXR7 · pith_short_8: D4BFJ2A4

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/D4BFJ2A4SXDVMXR7KBG3UWURAQ \
  | 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: 1f0254e81c95c7565e3f504dba5a910430f955a52de0dc588f558657e33c055d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce36aadf2b498dbaedc748e3467c69f2945d80a5da84b97f27ab9f8fe7245908",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-15T00:17:27Z",
    "title_canon_sha256": "8929a25f21832a2c4679f400d611fdd5ed403c903d18117f2b02c8d0e5009267"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04672",
    "kind": "arxiv",
    "version": 1
  }
}