Pith Number

pith:ESMQZG7T

pith:2019:ESMQZG7TNQTF5NARGQRXRM6H3H

not attested not anchored not stored refs pending

Golden ratio on nonorientable surfaces

Ji-Young Ham, Joongul Lee

arxiv:1903.03482 v1 · 2019-03-08 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESMQZG7TNQTF5NARGQRXRM6H3H}

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	2026-05-17T23:51:04.833117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24990c9bf36c265eb411342378b3c7d9e2ef88c7bfd9a93231fc32b7761fd08c

Aliases

arxiv: 1903.03482 · arxiv_version: 1903.03482v1 · doi: 10.48550/arxiv.1903.03482 · pith_short_12: ESMQZG7TNQTF · pith_short_16: ESMQZG7TNQTF5NAR · pith_short_8: ESMQZG7T

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/ESMQZG7TNQTF5NARGQRXRM6H3H \
  | 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: 24990c9bf36c265eb411342378b3c7d9e2ef88c7bfd9a93231fc32b7761fd08c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c12fc9e522ab817c2353d36eabc97254780857c20e2b5bcfaa255adebc279742",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-03-08T15:05:28Z",
    "title_canon_sha256": "0850d1232bd235cb3f33d9fc53ffc89cc8aeaf855894bc00b95a6203ddc15488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03482",
    "kind": "arxiv",
    "version": 1
  }
}