Pith Number

pith:GQEV2WAU

pith:2015:GQEV2WAUAUVKVIIOCCRFQNKG3I

not attested not anchored not stored refs pending

Area minimizing discs in metric spaces

Alexander Lytchak, Stefan Wenger

arxiv:1502.06571 v2 · 2015-02-23 · math.DG · math.AP · 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{GQEV2WAUAUVKVIIOCCRFQNKG3I}

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	2026-05-18T00:57:18.564934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34095d5814052aaaa10e10a2583546da32bd7f2633749261ca9b4fc252b498f0

Aliases

arxiv: 1502.06571 · arxiv_version: 1502.06571v2 · doi: 10.48550/arxiv.1502.06571 · pith_short_12: GQEV2WAUAUVK · pith_short_16: GQEV2WAUAUVKVIIO · pith_short_8: GQEV2WAU

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/GQEV2WAUAUVKVIIOCCRFQNKG3I \
  | 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: 34095d5814052aaaa10e10a2583546da32bd7f2633749261ca9b4fc252b498f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9a9bba04ec4101310db873d9af93b6b653ff0ce1db047e3ddb30f5f68c98e32",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-23T19:54:15Z",
    "title_canon_sha256": "db01f8129736278f0584293514e2a8d6d65f925026ecfd945c0e7ef9d03d4f8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06571",
    "kind": "arxiv",
    "version": 2
  }
}