Pith Number

pith:TWPQIL2A

pith:2013:TWPQIL2ALMKT7XK6TKPHV6EZP6

not attested not anchored not stored refs pending

Representing Boolean Functions Using Polynomials: More Can Offer Less

Yi Ming Zou

arxiv:1307.1157 v1 · 2013-07-02 · cs.CC · 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{TWPQIL2ALMKT7XK6TKPHV6EZP6}

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	2026-05-18T03:19:14.556688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d9f042f405b153fdd5e9a9e7af8997f9010e2def8f5475b3a649d1dc1405826

Aliases

arxiv: 1307.1157 · arxiv_version: 1307.1157v1 · doi: 10.48550/arxiv.1307.1157 · pith_short_12: TWPQIL2ALMKT · pith_short_16: TWPQIL2ALMKT7XK6 · pith_short_8: TWPQIL2A

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/TWPQIL2ALMKT7XK6TKPHV6EZP6 \
  | 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: 9d9f042f405b153fdd5e9a9e7af8997f9010e2def8f5475b3a649d1dc1405826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f52d55415054b62cecf24a01e7cbfd1d33022e6c2dbfe8f0fd5e9bd4832cbe56",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-07-02T19:05:51Z",
    "title_canon_sha256": "4a8419503ed86cbc497ac358cfc610ba7664d4be132dbd4d7becad81301a78f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1157",
    "kind": "arxiv",
    "version": 1
  }
}