Pith Number

pith:PQPZVAYZ

pith:2014:PQPZVAYZRNOJWIB4VKML3CAQSG

not attested not anchored not stored refs pending

Convex geodesic bicombings and hyperbolicity

Dominic Descombes, Urs Lang

arxiv:1404.5051 v1 · 2014-04-20 · math.MG · 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{PQPZVAYZRNOJWIB4VKML3CAQSG}

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	2026-05-18T02:53:52.067439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1f9a83198b5c9b203caa98bd8810919d9d6cf770412de5529f42a4062d469f

Aliases

arxiv: 1404.5051 · arxiv_version: 1404.5051v1 · doi: 10.48550/arxiv.1404.5051 · pith_short_12: PQPZVAYZRNOJ · pith_short_16: PQPZVAYZRNOJWIB4 · pith_short_8: PQPZVAYZ

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/PQPZVAYZRNOJWIB4VKML3CAQSG \
  | 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: 7c1f9a83198b5c9b203caa98bd8810919d9d6cf770412de5529f42a4062d469f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ac31c54fdb610c225e8a1b799a1fa233b7a6bb27117d5d5d64eb32c0c09f152",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-04-20T16:47:01Z",
    "title_canon_sha256": "3816d248f5144af80a3475777bf3f723ba40e3fe5648abcfd22fca248db6b1d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5051",
    "kind": "arxiv",
    "version": 1
  }
}