Pith Number

pith:LLUFES5H

pith:2018:LLUFES5HMFY7RRPRZEJ4YRZTWQ

not attested not anchored not stored refs pending

The string equation for non-univalent functions

Bj\"orn Gustafsson

arxiv:1803.03020 v1 · 2018-03-08 · 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{LLUFES5HMFY7RRPRZEJ4YRZTWQ}

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	2026-05-18T00:21:44.673351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae8524ba76171f8c5f1c913cc4733b43a263d64bfc62ba083d8243c254ab0a6

Aliases

arxiv: 1803.03020 · arxiv_version: 1803.03020v1 · doi: 10.48550/arxiv.1803.03020 · pith_short_12: LLUFES5HMFY7 · pith_short_16: LLUFES5HMFY7RRPR · pith_short_8: LLUFES5H

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/LLUFES5HMFY7RRPRZEJ4YRZTWQ \
  | 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: 5ae8524ba76171f8c5f1c913cc4733b43a263d64bfc62ba083d8243c254ab0a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f213f70ca498488a3e81aa97007dbd57590b89b0b63c1b1b57fd9fb93f9e3f97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-03-08T10:02:04Z",
    "title_canon_sha256": "608bec634556ef692941d3259216e13751d539a539ad729198a908d0c40814dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03020",
    "kind": "arxiv",
    "version": 1
  }
}