Pith Number

pith:QXIOEC6H

pith:2009:QXIOEC6HUWPFPXLMNXDFLNGQZ2

not attested not anchored not stored refs pending

Border bases and order ideals: a polyhedral characterization

G\'abor Braun, Sebastian Pokutta

arxiv:0912.1502 v5 · 2009-12-08 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXIOEC6HUWPFPXLMNXDFLNGQZ2}

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	2026-05-18T01:01:29.781011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d0e20bc7a59e57dd6c6dc655b4d0ce9b3eaeae506176b78555b755e0acfc25

Aliases

arxiv: 0912.1502 · arxiv_version: 0912.1502v5 · doi: 10.48550/arxiv.0912.1502 · pith_short_12: QXIOEC6HUWPF · pith_short_16: QXIOEC6HUWPFPXLM · pith_short_8: QXIOEC6H

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/QXIOEC6HUWPFPXLMNXDFLNGQZ2 \
  | 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: 85d0e20bc7a59e57dd6c6dc655b4d0ce9b3eaeae506176b78555b755e0acfc25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8d91d2e5097c3f1325d598dbd54661494aaa81332f80c404865fb44c46e8e31",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-12-08T14:19:36Z",
    "title_canon_sha256": "ef3ebff065d04f4fca0f0781abbd3ca616d03936178924f3a02e9626aac7b48e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1502",
    "kind": "arxiv",
    "version": 5
  }
}