Pith Number

pith:PCSZYSIM

pith:2010:PCSZYSIM46GKXVXJILWVX45QRO

not attested not anchored not stored refs pending

Equality of Graver bases and universal Gr\"obner bases of colored partition identities

Raymond Hemmecke, Sonja Petrovi\'c, Tristram Bogart

arxiv:1004.0840 v2 · 2010-04-06 · math.AC · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCSZYSIM46GKXVXJILWVX45QRO}

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	2026-05-18T03:26:32.777868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a59c490ce78cabd6e942ed5bf3b08b96504e2fe95f560911a259b760e678c7

Aliases

arxiv: 1004.0840 · arxiv_version: 1004.0840v2 · doi: 10.48550/arxiv.1004.0840 · pith_short_12: PCSZYSIM46GK · pith_short_16: PCSZYSIM46GKXVXJ · pith_short_8: PCSZYSIM

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/PCSZYSIM46GKXVXJILWVX45QRO \
  | 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: 78a59c490ce78cabd6e942ed5bf3b08b96504e2fe95f560911a259b760e678c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12ce273f9d8980e2faf62e9fa89a34a532d3eadd03cffb1ea4e58ee3c2c613d8",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-04-06T12:39:58Z",
    "title_canon_sha256": "a077c1f2dda7a53320120bc3160621f497489b371728fa5dab93366389bae924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0840",
    "kind": "arxiv",
    "version": 2
  }
}