Pith Number

pith:FFOR3I7I

pith:2025:FFOR3I7ILI27LRP2UDAW3P6MFH

not attested not anchored not stored refs pending

Fan's condition for completely independent spanning trees

Jie Ma, Junqing Cai

arxiv:2502.11522 v1 · 2025-02-17 · 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{FFOR3I7ILI27LRP2UDAW3P6MFH}

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	2026-07-05T10:15:30.240252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

295d1da3e85a35f5c5faa0c16dbfcc29f260b9ef95a8bf05f1a083d7edf2086f

Aliases

arxiv: 2502.11522 · arxiv_version: 2502.11522v1 · doi: 10.48550/arxiv.2502.11522 · pith_short_12: FFOR3I7ILI27 · pith_short_16: FFOR3I7ILI27LRP2 · pith_short_8: FFOR3I7I

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/FFOR3I7ILI27LRP2UDAW3P6MFH \
  | 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: 295d1da3e85a35f5c5faa0c16dbfcc29f260b9ef95a8bf05f1a083d7edf2086f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3786613f92b32ea1a4edcc76a556737a8383cfe4bf7a6709b941fd3db2e41461",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-17T07:51:46Z",
    "title_canon_sha256": "4195506698447e16ca1fdf0df356cd9823e5c126c089516219a63ae24f850985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.11522",
    "kind": "arxiv",
    "version": 1
  }
}