Pith Number

pith:5Q2PHFUQ

pith:2024:5Q2PHFUQOTRQRBMFIYDSAIPNZ3

not attested not anchored not stored refs pending

Random harmonic maps into spheres

Antoine Song

arxiv:2402.10287 v3 · 2024-02-15 · math.DG · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Q2PHFUQOTRQRBMFIYDSAIPNZ3}

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.

Cited by

1 paper in Pith

Bass notes of random hyperbolic surfaces of large genus

Receipt and verification

First computed	2026-07-05T12:00:42.623269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec34f3969074e308858546072021edcec1b768ed33cfe765808daad0dcc79d71

Aliases

arxiv: 2402.10287 · arxiv_version: 2402.10287v3 · doi: 10.48550/arxiv.2402.10287 · pith_short_12: 5Q2PHFUQOTRQ · pith_short_16: 5Q2PHFUQOTRQRBMF · pith_short_8: 5Q2PHFUQ

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/5Q2PHFUQOTRQRBMFIYDSAIPNZ3 \
  | 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: ec34f3969074e308858546072021edcec1b768ed33cfe765808daad0dcc79d71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a93ead38309fcf8279e38f94a67def60770c8bc6f86d2e19e04251606193fd2",
    "cross_cats_sorted": [
      "math.OA",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-02-15T19:30:56Z",
    "title_canon_sha256": "b7ddad2b088b641d26ca76d09a63e1a8d89139638d553f10a02829e4257da170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.10287",
    "kind": "arxiv",
    "version": 3
  }
}