Pith Number

pith:FV2F37FG

pith:2024:FV2F37FGJJHDFT766HK2IAQL4Z

not attested not anchored not stored refs pending

Entropy approach for a generalization of Frankl's conjecture

Veronica Phan

arxiv:2412.18622 v1 · 2024-12-17 · 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{FV2F37FGJJHDFT766HK2IAQL4Z}

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	2026-07-05T09:54:08.168908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d745dfca64a4e32cffef1d5a4020be666a548c1c0c44331514dff0c07c2b5d9

Aliases

arxiv: 2412.18622 · arxiv_version: 2412.18622v1 · doi: 10.48550/arxiv.2412.18622 · pith_short_12: FV2F37FGJJHD · pith_short_16: FV2F37FGJJHDFT76 · pith_short_8: FV2F37FG

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/FV2F37FGJJHDFT766HK2IAQL4Z \
  | 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: 2d745dfca64a4e32cffef1d5a4020be666a548c1c0c44331514dff0c07c2b5d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef6af07263658dc9d7652f930a73fc3bcd13aa7f5185f39f7ceeef6a148d59bb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-17T10:40:26Z",
    "title_canon_sha256": "71b3a6238e573e8ea4c16eb2d1e80e6cf8b2be6653ff4b3b7c6f9c725ba6aea4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18622",
    "kind": "arxiv",
    "version": 1
  }
}