Pith Number

pith:YFJACO7M

pith:2014:YFJACO7MQVXCKCJ5RGIL2UKH4H

not attested not anchored not stored refs pending

Contractivity, Complete Contractivity and Curvature inequalities

Avijit Pal

arxiv:1408.2389 v1 · 2014-08-11 · 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{YFJACO7MQVXCKCJ5RGIL2UKH4H}

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	2026-05-18T02:45:29.540841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c152013bec856e25093d8990bd5147e1c1f98b1e5a89ed3e4505d500de2aa3e6

Aliases

arxiv: 1408.2389 · arxiv_version: 1408.2389v1 · doi: 10.48550/arxiv.1408.2389 · pith_short_12: YFJACO7MQVXC · pith_short_16: YFJACO7MQVXCKCJ5 · pith_short_8: YFJACO7M

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/YFJACO7MQVXCKCJ5RGIL2UKH4H \
  | 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: c152013bec856e25093d8990bd5147e1c1f98b1e5a89ed3e4505d500de2aa3e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c8e1a18fd1b65106f4b9ed2952360fb0be12ddb5e04672b4377e5f9e6be86a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-08-11T12:49:14Z",
    "title_canon_sha256": "b76b33057bb6791015d27dce96b75b6d448b321af148950a9f6eb5216fe11641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2389",
    "kind": "arxiv",
    "version": 1
  }
}