Pith Number

pith:BLFX6LII

pith:2012:BLFX6LIIM5DEMEMGOEGMK654OB

not attested not anchored not stored refs pending

Random Regular Graphs are not Asymptotically Gromov Hyperbolic

Gabriel H. Tucci

arxiv:1203.5069 v1 · 2012-03-22 · math.MG · cs.NI · 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{BLFX6LIIM5DEMEMGOEGMK654OB}

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	2026-05-18T03:59:28.005972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0acb7f2d086746461186710cc57bbc7074564a79203fd2d6e2239058695a29b4

Aliases

arxiv: 1203.5069 · arxiv_version: 1203.5069v1 · doi: 10.48550/arxiv.1203.5069 · pith_short_12: BLFX6LIIM5DE · pith_short_16: BLFX6LIIM5DEMEMG · pith_short_8: BLFX6LII

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/BLFX6LIIM5DEMEMGOEGMK654OB \
  | 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: 0acb7f2d086746461186710cc57bbc7074564a79203fd2d6e2239058695a29b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cb1f30ee9dc31516a6ace8b55b51d0a3c854f6db4574c2bac5d7c00ff41add5",
    "cross_cats_sorted": [
      "cs.NI",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-03-22T18:20:55Z",
    "title_canon_sha256": "9598159c1dcb792846b7586cf68b27a834912542f7e099915a80448b1daf84df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5069",
    "kind": "arxiv",
    "version": 1
  }
}