Pith Number

pith:ZTAIYCQM

pith:2018:ZTAIYCQM5SUGA2UEXEVTJJSAHF

not attested not anchored not stored refs pending

Graph Operations and Neighborhood Polynomials

Maryam Alipour, Peter Tittmann

arxiv:1807.03971 v1 · 2018-07-11 · 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{ZTAIYCQM5SUGA2UEXEVTJJSAHF}

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	2026-05-18T00:10:58.447606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccc08c0a0ceca8606a84b92b34a6403957d54202f02e3f6a2159de2e4d61981b

Aliases

arxiv: 1807.03971 · arxiv_version: 1807.03971v1 · doi: 10.48550/arxiv.1807.03971 · pith_short_12: ZTAIYCQM5SUG · pith_short_16: ZTAIYCQM5SUGA2UE · pith_short_8: ZTAIYCQM

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/ZTAIYCQM5SUGA2UEXEVTJJSAHF \
  | 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: ccc08c0a0ceca8606a84b92b34a6403957d54202f02e3f6a2159de2e4d61981b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b834d3332d290c75960eb4777344075b5f984c1d08e8099579494171069150a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-11T07:30:24Z",
    "title_canon_sha256": "094c644a6ceb0069dc55d5f23ff0f0a9770695030b3f6064e1b3c429094754d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03971",
    "kind": "arxiv",
    "version": 1
  }
}