Pith Number

pith:Y4FWWLXN

pith:2025:Y4FWWLXNEZ3PRG5CIOVTJNBQFH

not attested not anchored not stored refs pending

Asymptotic structure. V. The coarse Menger conjecture in bounded path-width

Alex Divoux, Alex Scott, Paul Seymour, Tung Nguyen

arxiv:2509.08762 v2 · 2025-09-10 · 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{Y4FWWLXNEZ3PRG5CIOVTJNBQFH}

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

2 papers in Pith

A coarse Menger's Theorem for planar and bounded genus graphs

Coarse Menger property of quasi-minor excluded graphs and length spaces

Receipt and verification

First computed	2026-06-03T01:05:05.921606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70b6b2eed2676f89ba243ab34b43029f5de41d77a7001174eafc426b5ec92f6

Aliases

arxiv: 2509.08762 · arxiv_version: 2509.08762v2 · doi: 10.48550/arxiv.2509.08762 · pith_short_12: Y4FWWLXNEZ3P · pith_short_16: Y4FWWLXNEZ3PRG5C · pith_short_8: Y4FWWLXN

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/Y4FWWLXNEZ3PRG5CIOVTJNBQFH \
  | 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: c70b6b2eed2676f89ba243ab34b43029f5de41d77a7001174eafc426b5ec92f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61a8cea147e3deaf8054632fb606f080cc7f59aa869452b52e2b9ba624b1208a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-10T16:51:03Z",
    "title_canon_sha256": "d0845cfc1e5c959edfb804d8c6d882fa98700b4b563a46f806d20f44e88e266b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08762",
    "kind": "arxiv",
    "version": 2
  }
}