Pith Number

pith:TMZKYZLF

pith:2025:TMZKYZLFOSSD73XHPBG3MXP7YX

not attested not anchored not stored refs pending

The edge-statistics conjecture for hypergraphs

Dhruv Mubayi, Matthew Kwan, Tuan Tran, Vishesh Jain

arxiv:2505.03954 v2 · 2025-05-06 · 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{TMZKYZLFOSSD73XHPBG3MXP7YX}

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.

Cited by

1 paper in Pith

Relative discrepancy of hypergraphs

Receipt and verification

First computed	2026-07-05T11:56:56.807704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b32ac656574a43feee7784db65dffc5d3a08fe599c98e56ecc0566aeff69458

Aliases

arxiv: 2505.03954 · arxiv_version: 2505.03954v2 · doi: 10.48550/arxiv.2505.03954 · pith_short_12: TMZKYZLFOSSD · pith_short_16: TMZKYZLFOSSD73XH · pith_short_8: TMZKYZLF

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/TMZKYZLFOSSD73XHPBG3MXP7YX \
  | 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: 9b32ac656574a43feee7784db65dffc5d3a08fe599c98e56ecc0566aeff69458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4164822fad7a810621d423ad5b327f829353b8e40b0ae0490d7bc1152a72268d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-06T20:14:09Z",
    "title_canon_sha256": "48d8f89472311df6973d1c8ed2a4bbd8f71fd2c58ddb710d157879658f95acf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.03954",
    "kind": "arxiv",
    "version": 2
  }
}