Pith Number

pith:VAHWVIR4

pith:2010:VAHWVIR4LFOB63DJUXDNIFXF7Q

not attested not anchored not stored refs pending

Symbolic Powers and Matroids

Matteo Varbaro

arxiv:1003.2912 v3 · 2010-03-15 · 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{VAHWVIR4LFOB63DJUXDNIFXF7Q}

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	2026-05-18T04:12:56.525004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a80f6aa23c595c1f6c69a5c6d416e5fc324f7506d305654d0b2ae009eef32585

Aliases

arxiv: 1003.2912 · arxiv_version: 1003.2912v3 · doi: 10.48550/arxiv.1003.2912 · pith_short_12: VAHWVIR4LFOB · pith_short_16: VAHWVIR4LFOB63DJ · pith_short_8: VAHWVIR4

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/VAHWVIR4LFOB63DJUXDNIFXF7Q \
  | 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: a80f6aa23c595c1f6c69a5c6d416e5fc324f7506d305654d0b2ae009eef32585

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9be77fda81d53d8fde19cf928cbbc51806fb6e8cea53eee68b0c460cd17f394",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-03-15T12:36:50Z",
    "title_canon_sha256": "ffa00f3875023ffca8ced5c5d951a5f9b6439dc5f142f53ec284c05131e7ed2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2912",
    "kind": "arxiv",
    "version": 3
  }
}