Pith Number

pith:C5O2AT4J

pith:2020:C5O2AT4JY2LUHUMWNFASGGRH2C

not attested not anchored not stored refs pending

Fractionally balanced hypergraphs and rainbow KKM theorems

Eli Berger, Erel Segal-Halevi, Joseph Briggs, Ron Aharoni, Shira Zerbib

arxiv:2011.01053 v2 · 2020-11-02 · 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{C5O2AT4JY2LUHUMWNFASGGRH2C}

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	2026-07-05T04:48:06.211011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

175da04f89c69743d1966941231a27d0aa4c7764446367474f2ca9e60c0d62a9

Aliases

arxiv: 2011.01053 · arxiv_version: 2011.01053v2 · doi: 10.48550/arxiv.2011.01053 · pith_short_12: C5O2AT4JY2LU · pith_short_16: C5O2AT4JY2LUHUMW · pith_short_8: C5O2AT4J

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/C5O2AT4JY2LUHUMWNFASGGRH2C \
  | 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: 175da04f89c69743d1966941231a27d0aa4c7764446367474f2ca9e60c0d62a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "676dcaeb0fdeef3587ad7abf0410115a97688c32aa615fd01d4c1a91d50e6c33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-11-02T15:33:23Z",
    "title_canon_sha256": "77dc8c4c8c664d1b029925e731e3ea40d22d46dcb1ea672f9ee67fc67df11de3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.01053",
    "kind": "arxiv",
    "version": 2
  }
}