Pith Number

pith:JBQRQTCF

pith:2016:JBQRQTCFOUAQUUS7DQDJUSYJNM

not attested not anchored not stored refs pending

A Schwarz-type lemma for noncompact manifolds with boundary and geometric applications

Guglielmo Albanese, Marco Rigoli

arxiv:1602.03371 v1 · 2016-02-10 · math.DG · 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{JBQRQTCFOUAQUUS7DQDJUSYJNM}

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	2026-05-18T01:21:00.140166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4861184c4575010a525f1c069a4b096b109bf34c6cd55558434ed6d0251451d7

Aliases

arxiv: 1602.03371 · arxiv_version: 1602.03371v1 · doi: 10.48550/arxiv.1602.03371 · pith_short_12: JBQRQTCFOUAQ · pith_short_16: JBQRQTCFOUAQUUS7 · pith_short_8: JBQRQTCF

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/JBQRQTCFOUAQUUS7DQDJUSYJNM \
  | 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: 4861184c4575010a525f1c069a4b096b109bf34c6cd55558434ed6d0251451d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6196636d1eab9ed8fb871ca20a1717c1652c524a1660c273210577102f9af58f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-10T13:56:10Z",
    "title_canon_sha256": "80c4c866bfde70eb3a46cb5c36c3b04296e0f444e90e7b067aaadf5a35956aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03371",
    "kind": "arxiv",
    "version": 1
  }
}