Pith Number

pith:ODFU7DOB

pith:2016:ODFU7DOBVXZTBS6C2545W565X2

not attested not anchored not stored refs pending

The Graph of the Pedigree Polytope is Asymptotically Almost Complete (Extended Abstract)

Abdullah Makkeh, Dirk Oliver Theis, Mozhgan Pourmoradnasseri

arxiv:1611.08419 v2 · 2016-11-25 · cs.DM · 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{ODFU7DOBVXZTBS6C2545W565X2}

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	2026-05-18T00:56:30.195094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70cb4f8dc1adf330cbc2d779db77ddbea14c6134c6ea37249ba10dfc95040ccd

Aliases

arxiv: 1611.08419 · arxiv_version: 1611.08419v2 · doi: 10.48550/arxiv.1611.08419 · pith_short_12: ODFU7DOBVXZT · pith_short_16: ODFU7DOBVXZTBS6C · pith_short_8: ODFU7DOB

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/ODFU7DOBVXZTBS6C2545W565X2 \
  | 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: 70cb4f8dc1adf330cbc2d779db77ddbea14c6134c6ea37249ba10dfc95040ccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d46e5a8fd98bcd507cacd30c1836d06aca10bbea7e7bdb571c75f0fedda70863",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-11-25T11:07:34Z",
    "title_canon_sha256": "d8f49df80729d009050d5f2352e6916fb120b2896cc9b47efb21da998fbb6867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08419",
    "kind": "arxiv",
    "version": 2
  }
}