Pith Number

pith:GWARXM6C

pith:2023:GWARXM6C7SRKLLI3ODGPL5XSX6

not attested not anchored not stored refs pending

Spanning trees in the square of pseudorandom graphs

Mat\'ias Pavez-Sign\'e

arxiv:2307.00322 v2 · 2023-07-01 · 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{GWARXM6C7SRKLLI3ODGPL5XSX6}

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

Tree tilings in random regular graphs

Receipt and verification

First computed	2026-07-05T07:09:29.968144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35811bb3c2fca2a5ad1b70ccf5f6f2bf8457816592c7df940470824ca88e582c

Aliases

arxiv: 2307.00322 · arxiv_version: 2307.00322v2 · doi: 10.48550/arxiv.2307.00322 · pith_short_12: GWARXM6C7SRK · pith_short_16: GWARXM6C7SRKLLI3 · pith_short_8: GWARXM6C

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/GWARXM6C7SRKLLI3ODGPL5XSX6 \
  | 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: 35811bb3c2fca2a5ad1b70ccf5f6f2bf8457816592c7df940470824ca88e582c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b367344b27185d7bef05c50bd16b5b49459de83a1e7ea06f5bcf099a21e613",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-01T12:28:44Z",
    "title_canon_sha256": "106a47e70f39eed131ff0de501e7c49e5db3c74671e5a8af756d3fac1cf219ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.00322",
    "kind": "arxiv",
    "version": 2
  }
}