Pith Number

pith:46R7PGAZ

pith:2017:46R7PGAZP3OMSG5A4O3HBALEKD

not attested not anchored not stored refs pending

Contractivity vs. Complete Contractivity via property P

Samya Kumar Ray

arxiv:1701.02474 v2 · 2017-01-10 · 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{46R7PGAZP3OMSG5A4O3HBALEKD}

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	2026-05-18T00:42:17.504369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7a3f798197edcc91ba0e3b670816450d9f46c9d7f8f4fd5abbac7eef0b40e58

Aliases

arxiv: 1701.02474 · arxiv_version: 1701.02474v2 · doi: 10.48550/arxiv.1701.02474 · pith_short_12: 46R7PGAZP3OM · pith_short_16: 46R7PGAZP3OMSG5A · pith_short_8: 46R7PGAZ

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/46R7PGAZP3OMSG5A4O3HBALEKD \
  | 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: e7a3f798197edcc91ba0e3b670816450d9f46c9d7f8f4fd5abbac7eef0b40e58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b727bb8173ed1a3098720da98bb7ecfc7bec397d34060f35720062e482e5af69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-01-10T08:40:30Z",
    "title_canon_sha256": "6e38007a16efb00e2033b12cbb72dac4a4146e48d0b52ba77cb34b8fe372a035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02474",
    "kind": "arxiv",
    "version": 2
  }
}