Pith Number

pith:UEZSXOXO

pith:2015:UEZSXOXOVV6AYCHYR65QCNBKNH

not attested not anchored not stored refs pending

Examples of holomorphic functions vanishing to infinite order at the boundary

Jonas Hirsch

arxiv:1509.03749 v3 · 2015-09-12 · 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{UEZSXOXOVV6AYCHYR65QCNBKNH}

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	2026-05-18T00:27:36.883839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1332bbaeead7c0c08f88fbb01342a69c1c24169970b0a1d36a40db258884ef4

Aliases

arxiv: 1509.03749 · arxiv_version: 1509.03749v3 · doi: 10.48550/arxiv.1509.03749 · pith_short_12: UEZSXOXOVV6A · pith_short_16: UEZSXOXOVV6AYCHY · pith_short_8: UEZSXOXO

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/UEZSXOXOVV6AYCHYR65QCNBKNH \
  | 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: a1332bbaeead7c0c08f88fbb01342a69c1c24169970b0a1d36a40db258884ef4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "421102fd88e57deddfa77d04fb2740a03510b02dccd4aed12ebacabd5c4fc492",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-12T14:28:33Z",
    "title_canon_sha256": "97674a7aa3711b8be5ee6fa2953c6ddb2808432cfea79113b38f5b0b648986be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03749",
    "kind": "arxiv",
    "version": 3
  }
}