Pith Number

pith:D3JU5B5Y

pith:2024:D3JU5B5YU7TXIX77NSLX6MBFEV

not attested not anchored not stored refs pending

Arborescences of Random Covering Graphs

Junjie Ni, Kaixin Wang, Muchen Ju, Yihan Xiao

arxiv:2412.12633 v4 · 2024-12-17 · 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{D3JU5B5YU7TXIX77NSLX6MBFEV}

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	2026-07-05T11:16:31.040917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed34e87b8a7e7745fff6c977f3025257fb4fea37b2385a00649b8ebcf231997

Aliases

arxiv: 2412.12633 · arxiv_version: 2412.12633v4 · doi: 10.48550/arxiv.2412.12633 · pith_short_12: D3JU5B5YU7TX · pith_short_16: D3JU5B5YU7TXIX77 · pith_short_8: D3JU5B5Y

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/D3JU5B5YU7TXIX77NSLX6MBFEV \
  | 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: 1ed34e87b8a7e7745fff6c977f3025257fb4fea37b2385a00649b8ebcf231997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0782cc92e4b0e22947e2f5646069c3789e3e6fa3a8f922b36472553193cbbe4b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-17T07:56:10Z",
    "title_canon_sha256": "267a7f735eb5b5eb40b4c2a95ad0120009929b06e9be8d1b966444c13db314c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12633",
    "kind": "arxiv",
    "version": 4
  }
}