Pith Number

pith:YNPCU4WV

pith:2017:YNPCU4WV5FZO3IJWUDBYJQ33IH

not attested not anchored not stored refs pending

Macdonald's Theorem for Analytic Functions

R. C. McPhedran

arxiv:1702.03458 v2 · 2017-02-11 · 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{YNPCU4WV5FZO3IJWUDBYJQ33IH}

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	2026-05-18T00:46:46.312413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c35e2a72d5e972eda136a0c384c37b41d0027d5705b7f762ec289dbcbb25fa0d

Aliases

arxiv: 1702.03458 · arxiv_version: 1702.03458v2 · doi: 10.48550/arxiv.1702.03458 · pith_short_12: YNPCU4WV5FZO · pith_short_16: YNPCU4WV5FZO3IJW · pith_short_8: YNPCU4WV

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/YNPCU4WV5FZO3IJWUDBYJQ33IH \
  | 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: c35e2a72d5e972eda136a0c384c37b41d0027d5705b7f762ec289dbcbb25fa0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41c6ad63d17843b9d60329630e18ef2db6bd065cdbfa13b14b8a5e376e17001d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-02-11T20:40:19Z",
    "title_canon_sha256": "20d5fa54479fb594e1feaad917ada72d5ee89b656b8a59053bdd71350782ab54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03458",
    "kind": "arxiv",
    "version": 2
  }
}