Pith Number

pith:APEBHTFD

pith:2020:APEBHTFDACH6NJ23X4FYPIMZWM

not attested not anchored not stored refs pending

Shattered matchings in intersecting hypergraphs

Janos Pach, Peter Frankl

arxiv:2005.04880 v1 · 2020-05-11 · 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{APEBHTFDACH6NJ23X4FYPIMZWM}

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	2026-07-05T02:08:08.190820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03c813cca3008fe6a75bbf0b87a199b30a9665e79d180b92fc74a4b3d0f479bd

Aliases

arxiv: 2005.04880 · arxiv_version: 2005.04880v1 · doi: 10.48550/arxiv.2005.04880 · pith_short_12: APEBHTFDACH6 · pith_short_16: APEBHTFDACH6NJ23 · pith_short_8: APEBHTFD

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/APEBHTFDACH6NJ23X4FYPIMZWM \
  | 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: 03c813cca3008fe6a75bbf0b87a199b30a9665e79d180b92fc74a4b3d0f479bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38e25170dd8b78fc041b062e01f073ca41e309ac6bca5c142e6658efe800284c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-05-11T06:35:31Z",
    "title_canon_sha256": "fa5c43deec90e5490d634ac37e95f84eb9e9455017a81ab7d0db17f6d8e519fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.04880",
    "kind": "arxiv",
    "version": 1
  }
}