Pith Number

pith:3QQGTBXY

pith:2017:3QQGTBXYKVY7U2IL3JZEG3XF7I

not attested not anchored not stored refs pending

Existence and approximation of fixed points of vicinal mappings in geodesic spaces

Fumiaki Kohsaka

arxiv:1704.05704 v2 · 2017-04-19 · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QQGTBXYKVY7U2IL3JZEG3XF7I}

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	2026-05-18T00:17:19.416185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc206986f85571fa690bda72436ee5fa3c602777779e4acd9e934c25b0f7f4df

Aliases

arxiv: 1704.05704 · arxiv_version: 1704.05704v2 · doi: 10.48550/arxiv.1704.05704 · pith_short_12: 3QQGTBXYKVY7 · pith_short_16: 3QQGTBXYKVY7U2IL · pith_short_8: 3QQGTBXY

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/3QQGTBXYKVY7U2IL3JZEG3XF7I \
  | 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: dc206986f85571fa690bda72436ee5fa3c602777779e4acd9e934c25b0f7f4df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0ff059c7caed659b424bd45911f9def655eb582bb95b0b7c5ce468285e7a66a",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-19T12:08:28Z",
    "title_canon_sha256": "bb3e7c251f3fc54e7ca9f187f65b2a7215c7fcacdc39ac6e045ec36ecaebf6ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05704",
    "kind": "arxiv",
    "version": 2
  }
}