Pith Number

pith:5HS7L5JQ

pith:2009:5HS7L5JQ2WEALZ5Q5IWCIMJAJW

not attested not anchored not stored refs pending

M\"obius transform, moment-angle complexes and Halperin-Carlsson conjecture

Xiangyu Cao, Zhi L\"u

arxiv:0908.3174 v2 · 2009-08-21 · math.CO · math.AC · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HS7L5JQ2WEALZ5Q5IWCIMJAJW}

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	2026-05-18T03:48:46.776287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9e5f5f530d58805e7b0ea2c2431204d8dbe951a7a967b3c3f79339d089c64c8

Aliases

arxiv: 0908.3174 · arxiv_version: 0908.3174v2 · doi: 10.48550/arxiv.0908.3174 · pith_short_12: 5HS7L5JQ2WEA · pith_short_16: 5HS7L5JQ2WEALZ5Q · pith_short_8: 5HS7L5JQ

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/5HS7L5JQ2WEALZ5Q5IWCIMJAJW \
  | 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: e9e5f5f530d58805e7b0ea2c2431204d8dbe951a7a967b3c3f79339d089c64c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe4294ffe8bc7a027354d796dc7b50e8dff6ca72ad7cde76ad77a6033c66492c",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-08-21T17:42:16Z",
    "title_canon_sha256": "dc9de2d1d66b0a076a19c315a0e6b4d2f041d0fc84351084eb5e1ce30f677384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3174",
    "kind": "arxiv",
    "version": 2
  }
}