Pith Number

pith:MQZGM4CB

pith:2016:MQZGM4CBZNY2RDFCUPR3YG4POP

not attested not anchored not stored refs pending

Spanning Trees and Mahler Measure

Daniel S. Silver, Susan G. Williams

arxiv:1602.02797 v1 · 2016-02-08 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQZGM4CBZNY2RDFCUPR3YG4POP}

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	2026-05-18T01:21:08.126966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6432667041cb71a88ca2a3e3bc1b8f73da8a7df6091fc24f9d84bfce76901884

Aliases

arxiv: 1602.02797 · arxiv_version: 1602.02797v1 · doi: 10.48550/arxiv.1602.02797 · pith_short_12: MQZGM4CBZNY2 · pith_short_16: MQZGM4CBZNY2RDFC · pith_short_8: MQZGM4CB

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/MQZGM4CBZNY2RDFCUPR3YG4POP \
  | 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: 6432667041cb71a88ca2a3e3bc1b8f73da8a7df6091fc24f9d84bfce76901884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "413853e1abb16bb6b7c093ee706341da7202d066f92f2fa2d9950e013e961d70",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-08T21:39:20Z",
    "title_canon_sha256": "b3cf2e121f3259b4acbe8eb1b674d0c28b69cb35c3bb071bb58c336d8ace4a32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02797",
    "kind": "arxiv",
    "version": 1
  }
}