Pith Number

pith:GMFLHI67

pith:2019:GMFLHI67FZ5O3KVZMNNFGWHDAD

not attested not anchored not stored refs pending

The Extension Degree Conditions for Fractional Factor

Juan L.G. Guirao, Weifan Wang, Wei Gao

arxiv:1904.02482 v1 · 2019-04-04 · 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{GMFLHI67FZ5O3KVZMNNFGWHDAD}

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	2026-05-17T23:49:23.504246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330ab3a3df2e7aedaab9635a5358e300e08f4728ced7c54de15c45cafb4ddd50

Aliases

arxiv: 1904.02482 · arxiv_version: 1904.02482v1 · doi: 10.48550/arxiv.1904.02482 · pith_short_12: GMFLHI67FZ5O · pith_short_16: GMFLHI67FZ5O3KVZ · pith_short_8: GMFLHI67

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/GMFLHI67FZ5O3KVZMNNFGWHDAD \
  | 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: 330ab3a3df2e7aedaab9635a5358e300e08f4728ced7c54de15c45cafb4ddd50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f1b9bb0fca58bdd83f238b91922cf49c1b5db81442b384355db2db4d5c8db3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-04T11:09:32Z",
    "title_canon_sha256": "5d36b0885fd63b3626f4a4e67502b1fe10fe04b9f284ce84f599ef95332b3999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02482",
    "kind": "arxiv",
    "version": 1
  }
}