Pith Number

pith:ASRIE3SK

pith:2015:ASRIE3SKFNVXFUUCWHTOQKLP77

not attested not anchored not stored refs pending

{\sigma}-Porosity of the set of strict contractions in a space of non-expansive mappings

Christian Bargetz, Michael Dymond

arxiv:1505.07656 v2 · 2015-05-28 · 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{ASRIE3SKFNVXFUUCWHTOQKLP77}

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	2026-05-18T01:06:41.078484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a2826e4a2b6b72d282b1e6e8296ffff89248612f3c230f49c5f1ad4304eecd

Aliases

arxiv: 1505.07656 · arxiv_version: 1505.07656v2 · doi: 10.48550/arxiv.1505.07656 · pith_short_12: ASRIE3SKFNVX · pith_short_16: ASRIE3SKFNVXFUUC · pith_short_8: ASRIE3SK

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/ASRIE3SKFNVXFUUCWHTOQKLP77 \
  | 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: 04a2826e4a2b6b72d282b1e6e8296ffff89248612f3c230f49c5f1ad4304eecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4757db10a27ef5ace70d875f98fd0c1e36a40749c41a7fbc2322eaad033df647",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-28T11:48:36Z",
    "title_canon_sha256": "c6e064e4e57db1154d4a015a3f6c99616ffcade9ec387f9a67b34f71b65cbc72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07656",
    "kind": "arxiv",
    "version": 2
  }
}