Pith Number

pith:KEBQMF7A

pith:2010:KEBQMF7A72MVR5RBI6TVAH52WW

not attested not anchored not stored refs pending

Polynomial functions on the units of Z_{2^n}

Danilo Gligoroski, Smile Markovski, Zoran Sunic

arxiv:1008.1012 v1 · 2010-08-05 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEBQMF7A72MVR5RBI6TVAH52WW}

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	2026-05-18T04:42:34.786592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51030617e0fe9958f62147a7501fbab5beaa0d9429b412c689bc52d1dc00c083

Aliases

arxiv: 1008.1012 · arxiv_version: 1008.1012v1 · doi: 10.48550/arxiv.1008.1012 · pith_short_12: KEBQMF7A72MV · pith_short_16: KEBQMF7A72MVR5RB · pith_short_8: KEBQMF7A

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/KEBQMF7A72MVR5RBI6TVAH52WW \
  | 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: 51030617e0fe9958f62147a7501fbab5beaa0d9429b412c689bc52d1dc00c083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7fd763d5a488fe63e90e1e6ee3f8318b407b048c542d8f5bcfddd131daddafc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-08-05T15:53:12Z",
    "title_canon_sha256": "cfdaa56e39e0b8674c082b5ff1ebbd1d6a486e4fb610134cfd7802d972a0677a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1012",
    "kind": "arxiv",
    "version": 1
  }
}