Pith Number

pith:MQ3VKPIV

pith:2016:MQ3VKPIVUITKAPCBAZP4WGDIAB

not attested not anchored not stored refs pending

The Diameters of Network-flow Polytopes satisfy the Hirsch Conjecture

E. Finhold, J. A. De Loera, S. Borgwardt

arxiv:1603.00325 v3 · 2016-03-01 · 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{MQ3VKPIVUITKAPCBAZP4WGDIAB}

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	2026-05-18T01:04:09.184555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6437553d15a226a03c41065fcb1868004fe8df3bc9fb653f2f46e931f3f8e617

Aliases

arxiv: 1603.00325 · arxiv_version: 1603.00325v3 · doi: 10.48550/arxiv.1603.00325 · pith_short_12: MQ3VKPIVUITK · pith_short_16: MQ3VKPIVUITKAPCB · pith_short_8: MQ3VKPIV

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/MQ3VKPIVUITKAPCBAZP4WGDIAB \
  | 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: 6437553d15a226a03c41065fcb1868004fe8df3bc9fb653f2f46e931f3f8e617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e5ef57e8527c8f71d28ed2f1ee88019a5b61c2cd81415fc33566d7e7bafc2a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-01T15:39:38Z",
    "title_canon_sha256": "4672953d5e80f6cdd11140f706313e843bce6b7561fcc310ccf3d74a6509f7e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00325",
    "kind": "arxiv",
    "version": 3
  }
}