Pith Number

pith:3QR2KMFV

pith:2017:3QR2KMFVC23G4S2PKTOHW4X4XW

not attested not anchored not stored refs pending

Complex Analysis of Real Functions I: Complex-Analytic Structure and Integrable Real Functions

Jorge L. deLyra

arxiv:1708.06182 v4 · 2017-08-21 · math.CV · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QR2KMFVC23G4S2PKTOHW4X4XW}

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	2026-05-17T23:53:52.174305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc23a530b516b66e4b4f54dc7b72fcbd980ad2b86fdd5d835044c6c6d89580d5

Aliases

arxiv: 1708.06182 · arxiv_version: 1708.06182v4 · doi: 10.48550/arxiv.1708.06182 · pith_short_12: 3QR2KMFVC23G · pith_short_16: 3QR2KMFVC23G4S2P · pith_short_8: 3QR2KMFV

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/3QR2KMFVC23G4S2PKTOHW4X4XW \
  | 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: dc23a530b516b66e4b4f54dc7b72fcbd980ad2b86fdd5d835044c6c6d89580d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66df908c29c9845b4805ddb6a18b2385a3a67513afd1cde86006bd109b747849",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-08-21T12:28:06Z",
    "title_canon_sha256": "726c4bff1dce13a8121b7220b67ab5e41b00cb0e2d7365f03990eb2bae893c8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06182",
    "kind": "arxiv",
    "version": 4
  }
}