Pith Number

pith:WTMHVEFE

pith:2012:WTMHVEFEQQE53LPWAVKXCZVYJT

not attested not anchored not stored refs pending

The lowest-degree polynomials with non-negative coefficients

Miroslav Korbel\'a\v{r}, Tom\'a\v{s} Kepka

arxiv:1210.6868 v1 · 2012-10-25 · math.OC · 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{WTMHVEFEQQE53LPWAVKXCZVYJT}

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	2026-05-18T03:42:22.944165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d87a90a48409ddadf605557166b84cede17dc33da4e29148ac2926ff2e4827

Aliases

arxiv: 1210.6868 · arxiv_version: 1210.6868v1 · doi: 10.48550/arxiv.1210.6868 · pith_short_12: WTMHVEFEQQE5 · pith_short_16: WTMHVEFEQQE53LPW · pith_short_8: WTMHVEFE

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/WTMHVEFEQQE53LPWAVKXCZVYJT \
  | 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: b4d87a90a48409ddadf605557166b84cede17dc33da4e29148ac2926ff2e4827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deb70a5372801f7a48368bd1cb64ad273647dd57f57e929ba5c9781ad20d77c1",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-10-25T15:08:50Z",
    "title_canon_sha256": "78ded1572eac2ad6a5e7e23f2b6957083a1684387ff251acc86e67c890b22ea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6868",
    "kind": "arxiv",
    "version": 1
  }
}