Pith Number

pith:WEUN7JFS

pith:2013:WEUN7JFSWLS22K3TQ4ZFMHHETG

not attested not anchored not stored refs pending

On modular computation of Groebner bases with integer coefficients

S. Yu. Orevkov

arxiv:1312.6331 v1 · 2013-12-22 · math.AC · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WEUN7JFSWLS22K3TQ4ZFMHHETG}

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	2026-07-05T09:43:20.393370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b128dfa4b2b2e5ad2b738732561ce499bd6f92202b1c64ee16f4f5d8adbf9fb7

Aliases

arxiv: 1312.6331 · arxiv_version: 1312.6331v1 · doi: 10.48550/arxiv.1312.6331 · pith_short_12: WEUN7JFSWLS2 · pith_short_16: WEUN7JFSWLS22K3T · pith_short_8: WEUN7JFS

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/WEUN7JFSWLS22K3TQ4ZFMHHETG \
  | 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: b128dfa4b2b2e5ad2b738732561ce499bd6f92202b1c64ee16f4f5d8adbf9fb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb37456beff31522099c9e989525961c3e003c5ac0040883dd2d60cf8d83fa96",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-12-22T02:35:07Z",
    "title_canon_sha256": "9bc4d300856bcf03b9634023219489c2edfb6e500ec1a5ff78b753f8363148e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6331",
    "kind": "arxiv",
    "version": 1
  }
}