Pith Number

pith:UMK3IQIV

pith:2015:UMK3IQIVLMLQMEFPUJX52YHIYN

not attested not anchored not stored refs pending

First order convergence of matroids

Anita Liebenau, Daniel Kral, Frantisek Kardos, Lukas Mach

arxiv:1501.06518 v3 · 2015-01-26 · math.CO · cs.DM · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMK3IQIVLMLQMEFPUJX52YHIYN}

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	2026-05-18T01:09:07.155066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a315b441155b170610afa26fdd60e8c35756fdbcff057f665a72ab21f6f8448c

Aliases

arxiv: 1501.06518 · arxiv_version: 1501.06518v3 · doi: 10.48550/arxiv.1501.06518 · pith_short_12: UMK3IQIVLMLQ · pith_short_16: UMK3IQIVLMLQMEFP · pith_short_8: UMK3IQIV

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/UMK3IQIVLMLQMEFPUJX52YHIYN \
  | 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: a315b441155b170610afa26fdd60e8c35756fdbcff057f665a72ab21f6f8448c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "303f6b317baa431c445cd26741c6b4273403244d9f946a4e4e3a7b95ba2233cb",
    "cross_cats_sorted": [
      "cs.DM",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-26T18:43:11Z",
    "title_canon_sha256": "003a06ccb077fd08b9f147f6f088ce4a07fb588f30664df410a5fd77170aa984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06518",
    "kind": "arxiv",
    "version": 3
  }
}