Pith Number

pith:VRZTFDD6

pith:2011:VRZTFDD646UDRD2QZZ4OVKMK2M

not attested not anchored not stored refs pending

Hamming weights and Betti numbers of Stanley-Reisner rings associated to matroids

Hugues Verdure, Trygve Johnsen

arxiv:1108.3172 v2 · 2011-08-16 · 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{VRZTFDD646UDRD2QZZ4OVKMK2M}

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	2026-05-18T03:37:29.101263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac73328c7ee7a8388f50ce78eaa98ad31f9c8d182c9909ed1d00010aeaa65cfb

Aliases

arxiv: 1108.3172 · arxiv_version: 1108.3172v2 · doi: 10.48550/arxiv.1108.3172 · pith_short_12: VRZTFDD646UD · pith_short_16: VRZTFDD646UDRD2Q · pith_short_8: VRZTFDD6

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/VRZTFDD646UDRD2QZZ4OVKMK2M \
  | 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: ac73328c7ee7a8388f50ce78eaa98ad31f9c8d182c9909ed1d00010aeaa65cfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1023febd7c021db696357d4befe6768cc8fa7efb23ddbb9cf2dd6191b9d47ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-16T07:42:52Z",
    "title_canon_sha256": "99e0de4d187a0f49f5ec29efb33d09a22be68e86d79d1f0e99d359568b1b2fcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3172",
    "kind": "arxiv",
    "version": 2
  }
}