Pith Number

pith:MIBMSYGH

pith:2011:MIBMSYGHBPMO7QWX7NJSWQM7H4

not attested not anchored not stored refs pending

On the Mobius function of a lower Eulerian Cohen-Macaulay poset

Christos A. Athanasiadis

arxiv:1105.3148 v2 · 2011-05-16 · 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{MIBMSYGHBPMO7QWX7NJSWQM7H4}

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	2026-05-18T04:18:52.854862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6202c960c70bd8efc2d7fb532b419f3f1e70e1ba40a426289d09258b77db7fc5

Aliases

arxiv: 1105.3148 · arxiv_version: 1105.3148v2 · doi: 10.48550/arxiv.1105.3148 · pith_short_12: MIBMSYGHBPMO · pith_short_16: MIBMSYGHBPMO7QWX · pith_short_8: MIBMSYGH

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/MIBMSYGHBPMO7QWX7NJSWQM7H4 \
  | 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: 6202c960c70bd8efc2d7fb532b419f3f1e70e1ba40a426289d09258b77db7fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee87d87399b300c3bdc806b38d3cafdea7d928fa4c6e657aa68198593b1bf224",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-16T17:03:20Z",
    "title_canon_sha256": "358bae6250a89ff6bbf0892eb8340d97ed504cfa1fe98112ec9ef4b1378ccc53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3148",
    "kind": "arxiv",
    "version": 2
  }
}