Pith Number

pith:IYUPYYOL

pith:2017:IYUPYYOLZUFPSPBYKSSJ44QVWS

not attested not anchored not stored refs pending

Fixed points of n-valued maps on surfaces and the Wecken property -- a configuration space approach

Daciberg Lima Gon\c{c}alves (IME), John Guaschi (LMNO, NU), UNICAEN

arxiv:1702.05014 v2 · 2017-02-16 · 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{IYUPYYOLZUFPSPBYKSSJ44QVWS}

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	2026-05-18T00:45:53.884862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4628fc61cbcd0af93c3854a49e7215b49158dbc19f152ce952979f552991560b

Aliases

arxiv: 1702.05014 · arxiv_version: 1702.05014v2 · doi: 10.48550/arxiv.1702.05014 · pith_short_12: IYUPYYOLZUFP · pith_short_16: IYUPYYOLZUFPSPBY · pith_short_8: IYUPYYOL

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/IYUPYYOLZUFPSPBYKSSJ44QVWS \
  | 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: 4628fc61cbcd0af93c3854a49e7215b49158dbc19f152ce952979f552991560b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b98b0a0749d3ab6b6e8226386dcbb9f272921a71a56498651b3688c6d13db8d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-02-16T15:34:35Z",
    "title_canon_sha256": "79af60b3308eaaefb4e6ce06f04ff892d1342c4c5c97917306a75f25f0f662db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05014",
    "kind": "arxiv",
    "version": 2
  }
}