Pith Number

pith:5Y6BPGHW

pith:2008:5Y6BPGHWEUJIN57B6BGENEU3EM

not attested not anchored not stored refs pending

On Quasiconvexity and Relative Hyperbolic Structures

Eduardo Martinez-Pedroza

arxiv:0811.2384 v4 · 2008-11-14 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Y6BPGHWEUJIN57B6BGENEU3EM}

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	2026-05-18T04:23:13.494647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3c1798f6251286f7e1f04c46929b231f5216492083d1b108e893c2a420699a

Aliases

arxiv: 0811.2384 · arxiv_version: 0811.2384v4 · doi: 10.48550/arxiv.0811.2384 · pith_short_12: 5Y6BPGHWEUJI · pith_short_16: 5Y6BPGHWEUJIN57B · pith_short_8: 5Y6BPGHW

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/5Y6BPGHWEUJIN57B6BGENEU3EM \
  | 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: ee3c1798f6251286f7e1f04c46929b231f5216492083d1b108e893c2a420699a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f2df8f4301d8cc99beaa1d2491c4b7fe3656f85475e73e95e2611f55e6419f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-11-14T17:08:00Z",
    "title_canon_sha256": "e816a840f8b561d071ae62d60c06a6b32651199ccb8e1079e4851e0569226121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2384",
    "kind": "arxiv",
    "version": 4
  }
}