Pith Number

pith:YIYVJJLW

pith:2016:YIYVJJLWXJGRNDKTYYQGN6WFCP

not attested not anchored not stored refs pending

Characterization of $f$-extremal disks

Jos\'e M. Espinar, Laurent Mazet

arxiv:1610.09833 v3 · 2016-10-31 · math.AP · 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{YIYVJJLWXJGRNDKTYYQGN6WFCP}

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	2026-05-18T00:34:23.065246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c23154a576ba4d168d53c62066fac513d463cef4895d6e0a074447172f09f745

Aliases

arxiv: 1610.09833 · arxiv_version: 1610.09833v3 · doi: 10.48550/arxiv.1610.09833 · pith_short_12: YIYVJJLWXJGR · pith_short_16: YIYVJJLWXJGRNDKT · pith_short_8: YIYVJJLW

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/YIYVJJLWXJGRNDKTYYQGN6WFCP \
  | 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: c23154a576ba4d168d53c62066fac513d463cef4895d6e0a074447172f09f745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d0a4b882f9869f3f6311ef1d64e7de921d47b7239c58a86f53f3897bd557baa",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-31T09:04:47Z",
    "title_canon_sha256": "bf9b407b676d4520ebf422b5b441f9bf5c62f9490bba40cb8ce2af2c12723600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09833",
    "kind": "arxiv",
    "version": 3
  }
}