Pith Number

pith:GI3MZYDU

pith:2010:GI3MZYDUD6VOOZ7JH7M3BH7VTL

not attested not anchored not stored refs pending

Topology of Cayley Graphs Applied to Inverse Additive Problems

Yahya Ould Hamidoune

arxiv:1011.1797 v1 · 2010-11-08 · 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{GI3MZYDUD6VOOZ7JH7M3BH7VTL}

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	2026-05-18T04:36:49.870292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3236cce0741faae767e93fd9b09ff59ac1c9bfe85e0589e6e312a7b8fd34f5ba

Aliases

arxiv: 1011.1797 · arxiv_version: 1011.1797v1 · doi: 10.48550/arxiv.1011.1797 · pith_short_12: GI3MZYDUD6VO · pith_short_16: GI3MZYDUD6VOOZ7J · pith_short_8: GI3MZYDU

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/GI3MZYDUD6VOOZ7JH7M3BH7VTL \
  | 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: 3236cce0741faae767e93fd9b09ff59ac1c9bfe85e0589e6e312a7b8fd34f5ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7ed527a006ba19a145405944570a8a93f45e7973343146e426dced48edc793a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-08T13:25:24Z",
    "title_canon_sha256": "32578a75ceac0cdf1ab4fddeab74ee6279493136660f76d4d3a308641a51b00f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1797",
    "kind": "arxiv",
    "version": 1
  }
}