Pith Number

pith:XFJSKLO2

pith:2017:XFJSKLO2CMJG7VNAD7IKOXBPH2

not attested not anchored not stored refs pending

Fixed points of n-valued maps, the fixed point property and the case of surfaces -- a braid approach

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

arxiv:1702.05016 v1 · 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{XFJSKLO2CMJG7VNAD7IKOXBPH2}

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	2026-05-18T00:50:36.443373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b953252dda13126fd5a01fd0a75c2f3ea36b066d08421634cf0fe14de6880048

Aliases

arxiv: 1702.05016 · arxiv_version: 1702.05016v1 · doi: 10.48550/arxiv.1702.05016 · pith_short_12: XFJSKLO2CMJG · pith_short_16: XFJSKLO2CMJG7VNA · pith_short_8: XFJSKLO2

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/XFJSKLO2CMJG7VNAD7IKOXBPH2 \
  | 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: b953252dda13126fd5a01fd0a75c2f3ea36b066d08421634cf0fe14de6880048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "741c83af03340695c0b9752c9aaf3bf807bab503cc14a36c2c05a8f21f506595",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-02-16T15:35:36Z",
    "title_canon_sha256": "4a5b8062ddec5e5d2cf18b2f90a2f9b80e59c8cc5e6c62b3ed5489d036ddbf07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05016",
    "kind": "arxiv",
    "version": 1
  }
}