Pith Number

pith:CQBOV7CV

pith:2016:CQBOV7CVTBIWWOZWIMM5D7C6UE

not attested not anchored not stored refs pending

Core congestion is inherent in hyperbolic networks

Feodor F. Dragan, Victor Chepoi, Yann Vax\`es

arxiv:1605.03059 v2 · 2016-05-10 · cs.DS · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQBOV7CVTBIWWOZWIMM5D7C6UE}

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	2026-05-18T01:11:07.958467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1402eafc5598516b3b364319d1fc5ea12f692be566324ea67a1853ff0849952f

Aliases

arxiv: 1605.03059 · arxiv_version: 1605.03059v2 · doi: 10.48550/arxiv.1605.03059 · pith_short_12: CQBOV7CVTBIW · pith_short_16: CQBOV7CVTBIWWOZW · pith_short_8: CQBOV7CV

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/CQBOV7CVTBIWWOZWIMM5D7C6UE \
  | 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: 1402eafc5598516b3b364319d1fc5ea12f692be566324ea67a1853ff0849952f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be30ba86c672b22a46e08ea5d616d97616fa33554c84bcb64dbae23d4b17b674",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-05-10T15:32:02Z",
    "title_canon_sha256": "96a471863f361fa8275cbe372a3d7fbf077661a236f2b5581393d761726fc041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03059",
    "kind": "arxiv",
    "version": 2
  }
}