Pith Number

pith:CE33PAPX

pith:2015:CE33PAPXCBSBI25SW6ZBDLM3JK

not attested not anchored not stored refs pending

Packing and covering with balls on Busemann surfaces

Bertrand Estellon, Guyslain Naves, Victor Chepoi

arxiv:1508.00778 v2 · 2015-08-04 · math.MG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CE33PAPXCBSBI25SW6ZBDLM3JK}

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	2026-05-18T00:49:04.859826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1137b781f71064146bb2b7b211ad9b4a925277b5e36e8bf92f856f6b9a88931f

Aliases

arxiv: 1508.00778 · arxiv_version: 1508.00778v2 · doi: 10.48550/arxiv.1508.00778 · pith_short_12: CE33PAPXCBSB · pith_short_16: CE33PAPXCBSBI25S · pith_short_8: CE33PAPX

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/CE33PAPXCBSBI25SW6ZBDLM3JK \
  | 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: 1137b781f71064146bb2b7b211ad9b4a925277b5e36e8bf92f856f6b9a88931f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfbfd03c315e95e6d4435f66f0e4905a23fa553567ebe4188e12501338e2db67",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-08-04T14:04:22Z",
    "title_canon_sha256": "985742dedcd9eb07ca300db303d153e8f88210fb1b493210fad5f49b26bdeb4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00778",
    "kind": "arxiv",
    "version": 2
  }
}