Pith Number

pith:TMNME7N6

pith:2026:TMNME7N6MBYCSROZ5KJBF65I3S

not attested not anchored not stored refs pending

A Spectral Confirmation of the Erd\H{o}s Matching Conjecture

Junpeng Zhou, Liying Kang, Xiying Yuan, Yongchun Lu

arxiv:2607.07392 v1 · 2026-07-08 · 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{TMNME7N6MBYCSROZ5KJBF65I3S}

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

A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families

Receipt and verification

First computed	2026-07-09T01:20:23.732867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b1ac27dbe60702945d9ea9212fba8dcb92d0ceec1d73d125b8227e3840ed273

Aliases

arxiv: 2607.07392 · arxiv_version: 2607.07392v1 · doi: 10.48550/arxiv.2607.07392 · pith_short_12: TMNME7N6MBYC · pith_short_16: TMNME7N6MBYCSROZ · pith_short_8: TMNME7N6

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/TMNME7N6MBYCSROZ5KJBF65I3S \
  | 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: 9b1ac27dbe60702945d9ea9212fba8dcb92d0ceec1d73d125b8227e3840ed273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3cd1a77da962bbd8ab32666206ec726743cc306ab5c85a30471726866f94445",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-08T13:24:14Z",
    "title_canon_sha256": "f43da5eff186147c0bd6d9bed2bee1425f8c5723edf7c1bb61ec6948665fb802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07392",
    "kind": "arxiv",
    "version": 1
  }
}