Pith Number

pith:S4MABNHR

pith:2014:S4MABNHRENJBPA3FTI6AAN5SR6

not attested not anchored not stored refs pending

Continuous rational maps into spheres

Wojciech Kucharz

arxiv:1403.5127 v3 · 2014-03-20 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4MABNHRENJBPA3FTI6AAN5SR6}

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	2026-05-18T01:21:16.306058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

971800b4f123521783659a3c0037b28fbe20849bfc09a556aaaa76e7625f8080

Aliases

arxiv: 1403.5127 · arxiv_version: 1403.5127v3 · doi: 10.48550/arxiv.1403.5127 · pith_short_12: S4MABNHRENJB · pith_short_16: S4MABNHRENJBPA3F · pith_short_8: S4MABNHR

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/S4MABNHRENJBPA3FTI6AAN5SR6 \
  | 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: 971800b4f123521783659a3c0037b28fbe20849bfc09a556aaaa76e7625f8080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6580d8c52370006c1af0c0416e24bfa06014be1235c79496ac0927934cda3b30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-03-20T13:17:07Z",
    "title_canon_sha256": "2bbdc0125061e9b348713a2a35eea67df9c04553e7d976764898077c771b247c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5127",
    "kind": "arxiv",
    "version": 3
  }
}