Pith Number

pith:4QGRZBNN

pith:2019:4QGRZBNNH2L7ECW32RQEPQ543Z

not attested not anchored not stored refs pending

A hardness of approximation result in metric geometry

Fedor Manin, Larry Guth, Zarathustra Brady

arxiv:1908.02824 v2 · 2019-08-07 · math.DG · cs.CG · 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{4QGRZBNNH2L7ECW32RQEPQ543Z}

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	2026-07-05T01:28:40.177819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e40d1c85ad3e97f20adbd46047c3bcde6e78195e6132ffff9e3e378618863c95

Aliases

arxiv: 1908.02824 · arxiv_version: 1908.02824v2 · doi: 10.48550/arxiv.1908.02824 · pith_short_12: 4QGRZBNNH2L7 · pith_short_16: 4QGRZBNNH2L7ECW3 · pith_short_8: 4QGRZBNN

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/4QGRZBNNH2L7ECW32RQEPQ543Z \
  | 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: e40d1c85ad3e97f20adbd46047c3bcde6e78195e6132ffff9e3e378618863c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a91a9394dd001c836b615bef4dcce1648f481efff163af19253d8e8dc68477c6",
    "cross_cats_sorted": [
      "cs.CG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-07T20:30:12Z",
    "title_canon_sha256": "1f5b201c55ea0b4848a46277f4f0164d3ebb396b42e9e5b49e7642b97f182bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02824",
    "kind": "arxiv",
    "version": 2
  }
}