Pith Number

pith:UT4BY5LI

pith:2011:UT4BY5LIXDR3NVEFSS7NMTRQUJ

not attested not anchored not stored refs pending

Capacity of shrinking condensers in the plane

N. Arcozzi

arxiv:1108.5325 v1 · 2011-08-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UT4BY5LIXDR3NVEFSS7NMTRQUJ}

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	2026-05-18T04:14:38.521804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4f81c7568b8e3b6d48594bed64e30a25de93e23146df50c57d2ddd05d870cf7

Aliases

arxiv: 1108.5325 · arxiv_version: 1108.5325v1 · doi: 10.48550/arxiv.1108.5325 · pith_short_12: UT4BY5LIXDR3 · pith_short_16: UT4BY5LIXDR3NVEF · pith_short_8: UT4BY5LI

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/UT4BY5LIXDR3NVEFSS7NMTRQUJ \
  | 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: a4f81c7568b8e3b6d48594bed64e30a25de93e23146df50c57d2ddd05d870cf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "325e4fe84caa34612cb2b7af1a123dcc9c24551bfe47b4d6ebb157de03b79b3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-26T15:16:26Z",
    "title_canon_sha256": "7f22cf5a59e06b92c0ac50e2c7fff6cf41433e68de59289db2f3c277fa1a5c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5325",
    "kind": "arxiv",
    "version": 1
  }
}