Pith Number

pith:KFCLJGKW

pith:2019:KFCLJGKWA3Z46BVZ3IQLSER4IA

not attested not anchored not stored refs pending

Girth conditions and Rota's basis conjecture

Benjamin Friedman, Sean McGuinness

arxiv:1908.01216 v2 · 2019-08-03 · 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{KFCLJGKWA3Z46BVZ3IQLSER4IA}

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	2026-07-05T01:32:21.590021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5144b4995606f3cf06b9da20b9123c403d7b40d653d2b99fde255c70eba65f7c

Aliases

arxiv: 1908.01216 · arxiv_version: 1908.01216v2 · doi: 10.48550/arxiv.1908.01216 · pith_short_12: KFCLJGKWA3Z4 · pith_short_16: KFCLJGKWA3Z46BVZ · pith_short_8: KFCLJGKW

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/KFCLJGKWA3Z46BVZ3IQLSER4IA \
  | 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: 5144b4995606f3cf06b9da20b9123c403d7b40d653d2b99fde255c70eba65f7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd90f43eb1f70ad05459de31735789239b9b4a9063fb533b2d1ebf4e7a9dbcfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-03T18:40:28Z",
    "title_canon_sha256": "2dc290af69e70045d8a539ae18f6f6a2c229538b5246756d0d5e9f62685d558e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01216",
    "kind": "arxiv",
    "version": 2
  }
}