Pith Number

pith:ESDZJT6U

pith:2011:ESDZJT6U55FGXQ677NKQKJHLH6

not attested not anchored not stored refs pending

Bounds for identifying codes in terms of degree parameters

Florent Foucaud (LaBRI), Guillem Perarnau (UPC)

arxiv:1103.3756 v5 · 2011-03-19 · cs.DM · 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{ESDZJT6U55FGXQ677NKQKJHLH6}

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	2026-05-18T03:45:10.870338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248794cfd4ef4a6bc3dffb550524eb3fa4d33956c64b44ff7157e70b8f4f5c06

Aliases

arxiv: 1103.3756 · arxiv_version: 1103.3756v5 · doi: 10.48550/arxiv.1103.3756 · pith_short_12: ESDZJT6U55FG · pith_short_16: ESDZJT6U55FGXQ67 · pith_short_8: ESDZJT6U

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/ESDZJT6U55FGXQ677NKQKJHLH6 \
  | 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: 248794cfd4ef4a6bc3dffb550524eb3fa4d33956c64b44ff7157e70b8f4f5c06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8027487794bc013dbf921283c36c6e8a8a1bda47f031752c85301bf64b3d97",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-03-19T06:20:28Z",
    "title_canon_sha256": "f77671122ba5e0e8f050011d2fef7394a34670e70e7fdd4907419ea75ded83d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3756",
    "kind": "arxiv",
    "version": 5
  }
}