Pith Number

pith:BPU2FPEK

pith:2012:BPU2FPEKIDYAMN5XLYLJA33P2F

not attested not anchored not stored refs pending

Lexsegment ideals of Hilbert depth 1

Yi-Huang Shen

arxiv:1208.1822 v1 · 2012-08-09 · 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{BPU2FPEKIDYAMN5XLYLJA33P2F}

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	2026-05-18T03:49:09.901092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0be9a2bc8a40f00637b75e16906f6fd14af44cb3a186315b9ff79ea0c772c5f3

Aliases

arxiv: 1208.1822 · arxiv_version: 1208.1822v1 · doi: 10.48550/arxiv.1208.1822 · pith_short_12: BPU2FPEKIDYA · pith_short_16: BPU2FPEKIDYAMN5X · pith_short_8: BPU2FPEK

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/BPU2FPEKIDYAMN5XLYLJA33P2F \
  | 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: 0be9a2bc8a40f00637b75e16906f6fd14af44cb3a186315b9ff79ea0c772c5f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ee33610774490b11e9dfb0faec25de798404ccbd54d8d4accf73b3a7f639768",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-08-09T06:50:09Z",
    "title_canon_sha256": "f85d3e7a1d326b7f68c02b5ba02386a2d82623a92ff05653efaea0e34c6c4d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1822",
    "kind": "arxiv",
    "version": 1
  }
}