Pith Number

pith:MXJAKZZ7

pith:2011:MXJAKZZ7HFAFV56ZR5NVQTXFLA

not attested not anchored not stored refs pending

The stable set of associated prime ideals of a polymatroidal ideal

Asia Rauf, J\"urgen Herzog, Marius Vladoiu

arxiv:1109.5834 v2 · 2011-09-27 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXJAKZZ7HFAFV56ZR5NVQTXFLA}

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	2026-05-18T04:12:01.794568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d205673f39405af7d98f5b584ee55826d60673c95e891d880ff6eaa2dc2de3

Aliases

arxiv: 1109.5834 · arxiv_version: 1109.5834v2 · doi: 10.48550/arxiv.1109.5834 · pith_short_12: MXJAKZZ7HFAF · pith_short_16: MXJAKZZ7HFAFV56Z · pith_short_8: MXJAKZZ7

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/MXJAKZZ7HFAFV56ZR5NVQTXFLA \
  | 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: 65d205673f39405af7d98f5b584ee55826d60673c95e891d880ff6eaa2dc2de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df841e7cbf9eed2c87e09a53514cbafe4e85470b03becc3d327689bc092be15d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-09-27T10:57:17Z",
    "title_canon_sha256": "6a340be1126e7581bbc9fb4ade8c49b62d19857fe5fff9698605e0a2306b3656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5834",
    "kind": "arxiv",
    "version": 2
  }
}