Pith Number

pith:QXT6QGIB

pith:2008:QXT6QGIBP5P64VUJ4AQNVA2N5I

not attested not anchored not stored refs pending

On The Isoperimetric Spectrum of Graphs and Its Approximations

Amir Daneshgar, Hossein Hajiabolhassan, Ramin Javadi

arxiv:0801.0278 v2 · 2008-01-01 · 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{QXT6QGIBP5P64VUJ4AQNVA2N5I}

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	2026-05-18T02:28:13.733814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e7e819017f5fee5689e020da834dea2f2d08a528ac90de0e1d3b17680dc067

Aliases

arxiv: 0801.0278 · arxiv_version: 0801.0278v2 · doi: 10.48550/arxiv.0801.0278 · pith_short_12: QXT6QGIBP5P6 · pith_short_16: QXT6QGIBP5P64VUJ · pith_short_8: QXT6QGIB

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/QXT6QGIBP5P64VUJ4AQNVA2N5I \
  | 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: 85e7e819017f5fee5689e020da834dea2f2d08a528ac90de0e1d3b17680dc067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d891cda716c33e1064cc0eae51bc652e6de737570d029986dd96a6da72dc2087",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-01-01T07:49:58Z",
    "title_canon_sha256": "d677a48b426ae862572b2f53052db034d94178adb7bf2b06a93832fc1df1c5b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0278",
    "kind": "arxiv",
    "version": 2
  }
}