Pith Number

pith:JSJYH3L7

pith:2016:JSJYH3L7ESJNDCX5CULDL365RL

not attested not anchored not stored refs pending

Fixed point results for a new mapping related to mean nonexpansive mappings

Torrey M. Gallagher

arxiv:1609.07163 v1 · 2016-09-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSJYH3L7ESJNDCX5CULDL365RL}

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	2026-05-18T01:04:02.106294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c9383ed7f2492d18afd151635efdd8ac23868f2d60058698d816a1cc4d08cef

Aliases

arxiv: 1609.07163 · arxiv_version: 1609.07163v1 · doi: 10.48550/arxiv.1609.07163 · pith_short_12: JSJYH3L7ESJN · pith_short_16: JSJYH3L7ESJNDCX5 · pith_short_8: JSJYH3L7

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/JSJYH3L7ESJNDCX5CULDL365RL \
  | 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: 4c9383ed7f2492d18afd151635efdd8ac23868f2d60058698d816a1cc4d08cef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d57d2f72fc23bf10c25022c7216555dea6ad7f4de32298620e4fad3c543287b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-22T21:07:36Z",
    "title_canon_sha256": "5b8478b3569fa57e5d6e3b1d58e57f7ffc8ba8eb5d11349f03ac42c7890bb8ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07163",
    "kind": "arxiv",
    "version": 1
  }
}