Pith Number

pith:ETCKUZ4U

pith:2012:ETCKUZ4UQYPI2FKD2TSJO6HBNK

not attested not anchored not stored refs pending

A Fixed Point Theorem for Kannan-type Maps in Metric Spaces

Mitropam Chakraborty, S. K. Samanta

arxiv:1211.7331 v2 · 2012-11-30 · 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{ETCKUZ4UQYPI2FKD2TSJO6HBNK}

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	2026-05-18T03:38:22.904736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24c4aa6794861e8d1543d4e49778e16aa5f935bbb4b05636803ea6a3dd07b006

Aliases

arxiv: 1211.7331 · arxiv_version: 1211.7331v2 · doi: 10.48550/arxiv.1211.7331 · pith_short_12: ETCKUZ4UQYPI · pith_short_16: ETCKUZ4UQYPI2FKD · pith_short_8: ETCKUZ4U

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/ETCKUZ4UQYPI2FKD2TSJO6HBNK \
  | 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: 24c4aa6794861e8d1543d4e49778e16aa5f935bbb4b05636803ea6a3dd07b006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82192a48bcce4377b6e70f0fde8f23d130468d1c10a1c76df01f0bca7e36ab7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-11-30T18:24:00Z",
    "title_canon_sha256": "5dcfd03daf284812c312e3b375a09d704a2a04c9c274c3aaa1ea936d20a8ebb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7331",
    "kind": "arxiv",
    "version": 2
  }
}