Pith Number

pith:2ZQA56XB

pith:2017:2ZQA56XBDHVKGUK7VLLT7JKR6M

not attested not anchored not stored refs pending

A Descent on Simple Graphs -- from Complete to Cycle -- and Algebraic Properties of Their Spectra

J\"orn Steuding, Katja M\"onius, Pascal Stumpf

arxiv:1711.05500 v2 · 2017-11-15 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZQA56XBDHVKGUK7VLLT7JKR6M}

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	2026-05-18T00:22:27.421084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6600efae119eaa3515faad73fa551f3031ea78a3e76f9a5c8521b2422f85e61

Aliases

arxiv: 1711.05500 · arxiv_version: 1711.05500v2 · doi: 10.48550/arxiv.1711.05500 · pith_short_12: 2ZQA56XBDHVK · pith_short_16: 2ZQA56XBDHVKGUK7 · pith_short_8: 2ZQA56XB

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/2ZQA56XBDHVKGUK7VLLT7JKR6M \
  | 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: d6600efae119eaa3515faad73fa551f3031ea78a3e76f9a5c8521b2422f85e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28fbe1bc1f9be65a2f9841c54368f4804785ce7f2fe1b2e21a071e4a0becde64",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-15T11:20:57Z",
    "title_canon_sha256": "b0f9ac03a207156f6871f2578b1c748c2b27dcdf8c44594bcdf17c9befc663ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05500",
    "kind": "arxiv",
    "version": 2
  }
}