Pith Number

pith:7Q6GTHDD

pith:2017:7Q6GTHDDZY4YJPH4XYAMBAUD74

not attested not anchored not stored refs pending

Critical ideals, minimum rank and zero forcing number

Carlos A. Alfaro, Jephian C.-H. Lin

arxiv:1710.03386 v1 · 2017-10-10 · 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{7Q6GTHDDZY4YJPH4XYAMBAUD74}

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	2026-05-18T00:33:12.101449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc3c699c63ce3984bcfcbe00c08283ff2d667bdc2956f6e552d002b29fc14c56

Aliases

arxiv: 1710.03386 · arxiv_version: 1710.03386v1 · doi: 10.48550/arxiv.1710.03386 · pith_short_12: 7Q6GTHDDZY4Y · pith_short_16: 7Q6GTHDDZY4YJPH4 · pith_short_8: 7Q6GTHDD

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/7Q6GTHDDZY4YJPH4XYAMBAUD74 \
  | 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: fc3c699c63ce3984bcfcbe00c08283ff2d667bdc2956f6e552d002b29fc14c56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab3aea75bf37b475fc0813111941c9102c8ed11763f556b297d05300819e77e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-10T03:21:22Z",
    "title_canon_sha256": "94b5e358a26f44e05b1d15fbac2dae2c933999e6c4da963d17c6cb6cf1a75c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03386",
    "kind": "arxiv",
    "version": 1
  }
}