Pith Number

pith:JQ66WJOB

pith:2016:JQ66WJOBSLZAON5EZGQV6O2S6X

not attested not anchored not stored refs pending

On the Structure of the Graph of Unique Symmetric Base Exchanges of Bispanning Graphs

Timo Bingmann

arxiv:1601.03526 v3 · 2016-01-14 · 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{JQ66WJOBSLZAON5EZGQV6O2S6X}

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	2026-05-18T01:15:06.389297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c3deb25c192f20737a4c9a15f3b52f5d214093f2f3d2df0bea7494b4e91dee0

Aliases

arxiv: 1601.03526 · arxiv_version: 1601.03526v3 · doi: 10.48550/arxiv.1601.03526 · pith_short_12: JQ66WJOBSLZA · pith_short_16: JQ66WJOBSLZAON5E · pith_short_8: JQ66WJOB

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/JQ66WJOBSLZAON5EZGQV6O2S6X \
  | 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: 4c3deb25c192f20737a4c9a15f3b52f5d214093f2f3d2df0bea7494b4e91dee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "304b96de69998e9f861afd81bfc7f08d9ac2eede4339aa63906f99d87503c6c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-14T09:36:11Z",
    "title_canon_sha256": "f3edc4e37daf0d8a5baa97334b7714fa861fb7ec58005edd9531cee3cbc5c84f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03526",
    "kind": "arxiv",
    "version": 3
  }
}