Pith Number

pith:PI6N2ZG2

pith:2017:PI6N2ZG2XKV4APU6ZVMXTNY4UA

not attested not anchored not stored refs pending

Graph complexity and Mahler measure

Daniel S. Silver, Susan G. Williams

arxiv:1701.06097 v1 · 2017-01-21 · 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{PI6N2ZG2XKV4APU6ZVMXTNY4UA}

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

The number of rooted forests in circulant graphs

Receipt and verification

First computed	2026-05-18T00:52:19.327815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3cdd64dabaabc03e9ecd5979b71ca0143d2d4e4631d03c09576120adcb64ef

Aliases

arxiv: 1701.06097 · arxiv_version: 1701.06097v1 · doi: 10.48550/arxiv.1701.06097 · pith_short_12: PI6N2ZG2XKV4 · pith_short_16: PI6N2ZG2XKV4APU6 · pith_short_8: PI6N2ZG2

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/PI6N2ZG2XKV4APU6ZVMXTNY4UA \
  | 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: 7a3cdd64dabaabc03e9ecd5979b71ca0143d2d4e4631d03c09576120adcb64ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d554ab1104a397bb088d6f3a9934a7653ccd27c5c12b8cab1b9795b4dcd4a28",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-21T23:01:22Z",
    "title_canon_sha256": "97e4d1c4cf252e3e098805dd8e2cb90b7e12f0de50184880b164d511777cf42e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06097",
    "kind": "arxiv",
    "version": 1
  }
}