Pith Number

pith:2ZVFF4LP

pith:2016:2ZVFF4LPRWYMM73D66SA64XRCY

not attested not anchored not stored refs pending

Metric projections versus non-positive curvature

Alexandru Krist\'aly, Du\v{s}an Repov\v{s}

arxiv:1602.04178 v1 · 2016-02-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZVFF4LPRWYMM73D66SA64XRCY}

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	2026-05-18T01:20:54.342768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d66a52f16f8db0c67f63f7a40f72f1163d7a7031e320d2b5ef15a410468fb2e8

Aliases

arxiv: 1602.04178 · arxiv_version: 1602.04178v1 · doi: 10.48550/arxiv.1602.04178 · pith_short_12: 2ZVFF4LPRWYM · pith_short_16: 2ZVFF4LPRWYMM73D · pith_short_8: 2ZVFF4LP

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/2ZVFF4LPRWYMM73D66SA64XRCY \
  | 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: d66a52f16f8db0c67f63f7a40f72f1163d7a7031e320d2b5ef15a410468fb2e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf43f67eac9b042ae4200b2317c50f7d24d53c80f2f21baa4aac1a66cf5f2d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-12T19:29:41Z",
    "title_canon_sha256": "d301b7421c185fa45fa44c27e300a7c5c0634bc1158c3de1e85e9f6caa4c93b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04178",
    "kind": "arxiv",
    "version": 1
  }
}