Pith Number

pith:5QAU2K57

pith:2012:5QAU2K57CZG5MDAWBSQTJ3I7BI

not attested not anchored not stored refs pending

The Defect Sequence for Contractive Tuples

Bata Krishna Das, Santanu Sarkar, Tirthankar Bhattacharyya

arxiv:1211.5898 v1 · 2012-11-26 · 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{5QAU2K57CZG5MDAWBSQTJ3I7BI}

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	2026-05-18T03:40:01.655966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec014d2bbf164dd60c160ca134ed1f0a1b3593645fc55d70add41da6c9f1b917

Aliases

arxiv: 1211.5898 · arxiv_version: 1211.5898v1 · doi: 10.48550/arxiv.1211.5898 · pith_short_12: 5QAU2K57CZG5 · pith_short_16: 5QAU2K57CZG5MDAW · pith_short_8: 5QAU2K57

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/5QAU2K57CZG5MDAWBSQTJ3I7BI \
  | 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: ec014d2bbf164dd60c160ca134ed1f0a1b3593645fc55d70add41da6c9f1b917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "979d204ee51b64bbc4521dd7809654474362135c46e52693a0326c6f340f410b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-26T09:31:49Z",
    "title_canon_sha256": "2f2fc6331a18b236c4020d2ccdbefb99cb45c417f88b0e33b94dbc36c2dd1599"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5898",
    "kind": "arxiv",
    "version": 1
  }
}