Pith Number

pith:55FCY7G7

pith:2012:55FCY7G7ECJZQENO6AIS3H3ABA

not attested not anchored not stored refs pending

Wardowski implicit contractions in metric spaces

Mihai Turinici

arxiv:1211.3164 v2 · 2012-11-13 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55FCY7G7ECJZQENO6AIS3H3ABA}

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	2026-05-18T03:13:21.779642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef4a2c7cdf20939811aef0112d9f6008112c5120ad643c29f629159ea8f94a9d

Aliases

arxiv: 1211.3164 · arxiv_version: 1211.3164v2 · doi: 10.48550/arxiv.1211.3164 · pith_short_12: 55FCY7G7ECJZ · pith_short_16: 55FCY7G7ECJZQENO · pith_short_8: 55FCY7G7

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/55FCY7G7ECJZQENO6AIS3H3ABA \
  | 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: ef4a2c7cdf20939811aef0112d9f6008112c5120ad643c29f629159ea8f94a9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83fc6bf33314e05ad1814578120d8a8ce844bce396ce853a4e0be5c33ab43ae7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-11-13T23:37:22Z",
    "title_canon_sha256": "172b33f74f16d074ba94d9834fecb5074baa622811c0fdd2dc2e8c47f99d681b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3164",
    "kind": "arxiv",
    "version": 2
  }
}