Pith Number

pith:TYOQ4RZ6

pith:2011:TYOQ4RZ6G7WGHP3QCTY6SHTJIH

not attested not anchored not stored refs pending

Matroids and Integrality Gaps for Hypergraphic Steiner Tree Relaxations

Michel X. Goemans, Neil Olver, Rico Zenklusen, Thomas Rothvoss

arxiv:1111.7280 v2 · 2011-11-30 · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYOQ4RZ6G7WGHP3QCTY6SHTJIH}

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	2026-05-18T04:06:20.387444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e1d0e473e37ec63bf7014f1e91e6941dcb46eea07b74262c9692681d74b7c78

Aliases

arxiv: 1111.7280 · arxiv_version: 1111.7280v2 · doi: 10.48550/arxiv.1111.7280 · pith_short_12: TYOQ4RZ6G7WG · pith_short_16: TYOQ4RZ6G7WGHP3Q · pith_short_8: TYOQ4RZ6

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/TYOQ4RZ6G7WGHP3QCTY6SHTJIH \
  | 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: 9e1d0e473e37ec63bf7014f1e91e6941dcb46eea07b74262c9692681d74b7c78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d65ee55fd70ab10c8ce7a415704feebff21b17ffb5607b304d0df8bad36d4646",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-11-30T19:27:12Z",
    "title_canon_sha256": "ac00db70f7057317ea2415ba0db46b719e795c82a14ed676cfac55fec82c484d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7280",
    "kind": "arxiv",
    "version": 2
  }
}