Pith Number

pith:FDNGWTZL

pith:2012:FDNGWTZL5ADB2L6M2GXHIHPZWR

not attested not anchored not stored refs pending

Counting Spanning Trees on Fractal Graphs

Jason A. Anema

arxiv:1211.7341 v1 · 2012-11-30 · math.CO · math.PR · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FDNGWTZL5ADB2L6M2GXHIHPZWR}

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	2026-05-18T03:39:30.875370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28da6b4f2be8061d2fccd1ae741df9b44e55349e5a53458fdb47f805e5d4037c

Aliases

arxiv: 1211.7341 · arxiv_version: 1211.7341v1 · doi: 10.48550/arxiv.1211.7341 · pith_short_12: FDNGWTZL5ADB · pith_short_16: FDNGWTZL5ADB2L6M · pith_short_8: FDNGWTZL

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/FDNGWTZL5ADB2L6M2GXHIHPZWR \
  | 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: 28da6b4f2be8061d2fccd1ae741df9b44e55349e5a53458fdb47f805e5d4037c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c37c8a8926883f466cf6e8a6089e81743937551a23d1e6f65d71100825c8000",
    "cross_cats_sorted": [
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-30T19:10:14Z",
    "title_canon_sha256": "f7c8a7ce6494739ae4a3e0fb544c7079e81d6b3657e358dad143784637a0da64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7341",
    "kind": "arxiv",
    "version": 1
  }
}