Pith Number

pith:JPBGZHWP

pith:2019:JPBGZHWP5FM46G565TYVEAOBP2

not attested not anchored not stored refs pending

Scalable spaces

Aleksandr Berdnikov, Fedor Manin

arxiv:1912.00590 v3 · 2019-12-02 · math.GT · math.AT · math.DG · 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{JPBGZHWP5FM46G565TYVEAOBP2}

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.

Cited by

1 paper in Pith

A hardness of approximation result in metric geometry

Receipt and verification

First computed	2026-07-05T04:57:41.094965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bc26c9ecfe959cf1bbeecf15201c17e880b4b72e86771c7800df5f657ac13bc

Aliases

arxiv: 1912.00590 · arxiv_version: 1912.00590v3 · doi: 10.48550/arxiv.1912.00590 · pith_short_12: JPBGZHWP5FM4 · pith_short_16: JPBGZHWP5FM46G56 · pith_short_8: JPBGZHWP

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/JPBGZHWP5FM46G565TYVEAOBP2 \
  | 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: 4bc26c9ecfe959cf1bbeecf15201c17e880b4b72e86771c7800df5f657ac13bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b31dbb513d4431a261313d0897b8b2f41e98cb9351aad95bde5c090fcbc10ae",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-12-02T06:34:05Z",
    "title_canon_sha256": "56234b5eb547351b1e6057da70fb984734e6532988c689d8f3e8198c61e7d00a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.00590",
    "kind": "arxiv",
    "version": 3
  }
}