Pith Number

pith:2RJCLP7V

pith:2017:2RJCLP7VZX4SXDXLFQTFTKF2DU

not attested not anchored not stored refs pending

Approximating the Spectrum of a Graph

Christian Sohler, David Cohen-Steiner, Gregory Valiant, Weihao Kong

arxiv:1712.01725 v1 · 2017-12-05 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RJCLP7VZX4SXDXLFQTFTKF2DU}

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	2026-05-18T00:28:47.755934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d45225bff5cdf92b8eeb2c2659a8ba1d18f5c15be37b14b511ab411cbcdd63e0

Aliases

arxiv: 1712.01725 · arxiv_version: 1712.01725v1 · doi: 10.48550/arxiv.1712.01725 · pith_short_12: 2RJCLP7VZX4S · pith_short_16: 2RJCLP7VZX4SXDXL · pith_short_8: 2RJCLP7V

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/2RJCLP7VZX4SXDXLFQTFTKF2DU \
  | 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: d45225bff5cdf92b8eeb2c2659a8ba1d18f5c15be37b14b511ab411cbcdd63e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ae1ca18f321450ac20e0f78823162d8cbefc859ac9afc21501e21eaed704392",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-12-05T16:02:55Z",
    "title_canon_sha256": "e8e35e408cf85ed8a2c6f03a13af7792f72ce901547b090d576f1fe396bbd590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01725",
    "kind": "arxiv",
    "version": 1
  }
}