Pith Number

pith:D7M4THPV

pith:2010:D7M4THPVTUG2LKZAMXJGQPLUS3

not attested not anchored not stored refs pending

On the h-vectors of Cohen-Macaulay Flag Complexes

Alexandru Constantinescu, Matteo Varbaro

arxiv:1004.0170 v2 · 2010-04-01 · 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{D7M4THPVTUG2LKZAMXJGQPLUS3}

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	2026-05-18T04:12:56.506284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd9c99df59d0da5ab2065d2683d7496cb70869db657bc458ceed8d2e0f6b308

Aliases

arxiv: 1004.0170 · arxiv_version: 1004.0170v2 · doi: 10.48550/arxiv.1004.0170 · pith_short_12: D7M4THPVTUG2 · pith_short_16: D7M4THPVTUG2LKZA · pith_short_8: D7M4THPV

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/D7M4THPVTUG2LKZAMXJGQPLUS3 \
  | 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: 1fd9c99df59d0da5ab2065d2683d7496cb70869db657bc458ceed8d2e0f6b308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7ae79b137c03dfa640176e662067819dbc3935b9070797d0fbc202af336d64e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-04-01T16:16:08Z",
    "title_canon_sha256": "4ab78e49718901f497b3653dbd485e90855b210d43ef36ca5af70ec1da4249ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0170",
    "kind": "arxiv",
    "version": 2
  }
}