Pith Number

pith:S54NMJDR

pith:2016:S54NMJDRG7JSRWGH5ALFILSM6B

not attested not anchored not stored refs pending

Fixed points of left reversible semigroup of isometry mappings in Banach spaces

S. Rajesh

arxiv:1611.04087 v1 · 2016-11-13 · 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{S54NMJDRG7JSRWGH5ALFILSM6B}

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	2026-05-18T00:59:17.621849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9778d6247137d328d8c7e816542e4cf0680fa76940f94fcb2c62cf13609ce157

Aliases

arxiv: 1611.04087 · arxiv_version: 1611.04087v1 · doi: 10.48550/arxiv.1611.04087 · pith_short_12: S54NMJDRG7JS · pith_short_16: S54NMJDRG7JSRWGH · pith_short_8: S54NMJDR

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/S54NMJDRG7JSRWGH5ALFILSM6B \
  | 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: 9778d6247137d328d8c7e816542e4cf0680fa76940f94fcb2c62cf13609ce157

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69e92feeb68c598b142bd521a9b5f8babb8e06c07228d2776c8eb82bc03ddb6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-13T05:44:14Z",
    "title_canon_sha256": "4396eed585f09a47309833c67aa3dbfd86862d632a863c8e9ef6ec77c9abe52e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04087",
    "kind": "arxiv",
    "version": 1
  }
}