Pith Number

pith:P5YRPBPW

pith:2016:P5YRPBPWFAQ54TLPXWOW7YR3PY

not attested not anchored not stored refs pending

Further results on the deficiency of graphs

Hrant H. Khachatrian, Petros A. Petrosyan

arxiv:1608.00904 v2 · 2016-08-02 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5YRPBPWFAQ54TLPXWOW7YR3PY}

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	2026-05-18T00:51:57.691287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f711785f62821de4d6fbd9d6fe23b7e0d59540fee067c83cabb2f3970903a68

Aliases

arxiv: 1608.00904 · arxiv_version: 1608.00904v2 · doi: 10.48550/arxiv.1608.00904 · pith_short_12: P5YRPBPWFAQ5 · pith_short_16: P5YRPBPWFAQ54TLP · pith_short_8: P5YRPBPW

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/P5YRPBPWFAQ54TLPXWOW7YR3PY \
  | 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: 7f711785f62821de4d6fbd9d6fe23b7e0d59540fee067c83cabb2f3970903a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83b971af27e8da334dc5228c7c65226e1ea2e553cd07252aec6cd1f1c2bfe943",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-02T17:08:14Z",
    "title_canon_sha256": "e86561e0e45ee7b0e5b704e510b48ca24abf92f42018ae4919565756ccfaf515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00904",
    "kind": "arxiv",
    "version": 2
  }
}