Pith Number

pith:2ZISFBMU

pith:2017:2ZISFBMUTCO5G4OKHFZVOF5JKW

not attested not anchored not stored refs pending

A characterization of Gromov hyperbolicity via quasigeodesic subspaces

Thomas Weighill

arxiv:1701.00500 v1 · 2017-01-02 · 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{2ZISFBMUTCO5G4OKHFZVOF5JKW}

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	2026-05-18T00:53:29.108511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d651228594989dd371ca39735717a955b41d7ef37b1fb7823c938acb4736ca8e

Aliases

arxiv: 1701.00500 · arxiv_version: 1701.00500v1 · doi: 10.48550/arxiv.1701.00500 · pith_short_12: 2ZISFBMUTCO5 · pith_short_16: 2ZISFBMUTCO5G4OK · pith_short_8: 2ZISFBMU

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/2ZISFBMUTCO5G4OKHFZVOF5JKW \
  | 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: d651228594989dd371ca39735717a955b41d7ef37b1fb7823c938acb4736ca8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d51c21652416bfa2f58de5753c127294ef3efe16d60d2fdaa4fdb5b144a59064",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-01-02T19:10:56Z",
    "title_canon_sha256": "4ec0b2c51da6fe9de512e380980bea47a252387c237bf2d8f8f5a31744b53a55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00500",
    "kind": "arxiv",
    "version": 1
  }
}