Pith Number

pith:ZPI2KDKW

pith:2015:ZPI2KDKWRC5BYPALOPSIQSILYX

not attested not anchored not stored refs pending

Space of nonnegatively curved metrics and pseudoisotopies

F. Thomas Farrell, Igor Belegradek, Vitali Kapovitch

arxiv:1501.03475 v3 · 2015-01-14 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPI2KDKWRC5BYPALOPSIQSILYX}

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	2026-05-18T00:52:04.377930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbd1a50d5688ba1c3c0b73e488490bc5e2b7961a7f343b1893fb5afa48c3e6ae

Aliases

arxiv: 1501.03475 · arxiv_version: 1501.03475v3 · doi: 10.48550/arxiv.1501.03475 · pith_short_12: ZPI2KDKWRC5B · pith_short_16: ZPI2KDKWRC5BYPAL · pith_short_8: ZPI2KDKW

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/ZPI2KDKWRC5BYPALOPSIQSILYX \
  | 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: cbd1a50d5688ba1c3c0b73e488490bc5e2b7961a7f343b1893fb5afa48c3e6ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3029827e8186aace80314b421b7171fda9c5e9e073256f964b0b563fec44852",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-01-14T20:30:28Z",
    "title_canon_sha256": "4ece2df2168ccd0bbecd9e40a2d0c04f60938284b9c9d06038f808f1d1a9a66e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03475",
    "kind": "arxiv",
    "version": 3
  }
}