Pith Number

pith:JZADY7CF

pith:2019:JZADY7CF4Q54C7AFBPZB6T6ZHK

not attested not anchored not stored refs pending

Entire functions polynomially bounded in several variables

Jorge Mozo Fern\'andez

arxiv:1907.00763 v1 · 2019-07-01 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZADY7CF4Q54C7AFBPZB6T6ZHK}

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	2026-05-17T23:41:48.202115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e403c7c45e43bc17c050bf21f4fd93aaf15867d58b3d00e4f0e868444cf428e

Aliases

arxiv: 1907.00763 · arxiv_version: 1907.00763v1 · doi: 10.48550/arxiv.1907.00763 · pith_short_12: JZADY7CF4Q54 · pith_short_16: JZADY7CF4Q54C7AF · pith_short_8: JZADY7CF

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/JZADY7CF4Q54C7AFBPZB6T6ZHK \
  | 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: 4e403c7c45e43bc17c050bf21f4fd93aaf15867d58b3d00e4f0e868444cf428e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e800b0106af3344b20c48cb054fe7143c6b4da55da222581acd675a8bcb9e8d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-07-01T13:39:38Z",
    "title_canon_sha256": "2b4d8ce6b3c8cb2f07c5de0cbfb2c500be0b2ab7f4c79e0eb10c7ab676d5d7d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00763",
    "kind": "arxiv",
    "version": 1
  }
}