Pith Number

pith:46ASZRTM

pith:2009:46ASZRTM5RI6SRBP4I6P4U6DYM

not attested not anchored not stored refs pending

Finite type annular ends for harmonic functions

Joaquin Perez, William H. Meeks III

arxiv:0909.1963 v4 · 2009-09-10 · 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{46ASZRTM5RI6SRBP4I6P4U6DYM}

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	2026-05-18T01:18:10.544232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7812cc66cec51e9442fe23cfe53c3c32d6a1836a24f2c5d89ed54fed3e30e06

Aliases

arxiv: 0909.1963 · arxiv_version: 0909.1963v4 · doi: 10.48550/arxiv.0909.1963 · pith_short_12: 46ASZRTM5RI6 · pith_short_16: 46ASZRTM5RI6SRBP · pith_short_8: 46ASZRTM

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/46ASZRTM5RI6SRBP4I6P4U6DYM \
  | 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: e7812cc66cec51e9442fe23cfe53c3c32d6a1836a24f2c5d89ed54fed3e30e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3b107e136c74bdaa3175233cd4bc0a8b28c6f3b6afa17bf1acb4bdfdd877994",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-09-10T14:55:19Z",
    "title_canon_sha256": "12de414a8633cf6aac343ae444a0d1da9792eb5969157cb7e3632f4b4eedf744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1963",
    "kind": "arxiv",
    "version": 4
  }
}