Pith Number

pith:YSSS6BSD

pith:2012:YSSS6BSDVZUBQ2C5BPGNDGXJLW

not attested not anchored not stored refs pending

A functional model for pure $\Gamma$-contractions

Sourav Pal, Tirthankar Bhattacharyya

arxiv:1202.3841 v4 · 2012-02-17 · 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{YSSS6BSDVZUBQ2C5BPGNDGXJLW}

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	2026-05-18T01:36:16.000504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4a52f0643ae6818685d0bccd19ae95d87b41a86805352a5b519f1cbe55a9666

Aliases

arxiv: 1202.3841 · arxiv_version: 1202.3841v4 · doi: 10.48550/arxiv.1202.3841 · pith_short_12: YSSS6BSDVZUB · pith_short_16: YSSS6BSDVZUBQ2C5 · pith_short_8: YSSS6BSD

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/YSSS6BSDVZUBQ2C5BPGNDGXJLW \
  | 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: c4a52f0643ae6818685d0bccd19ae95d87b41a86805352a5b519f1cbe55a9666

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "918c90bab3745a6714871c3d97e11f09581f1bb039e7d568d20267da3fe9b5c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-17T05:12:04Z",
    "title_canon_sha256": "ecb73630894fa2656c8ae1a889f3a8722f6a14a8aa63460cdc99f4e17fbab4c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3841",
    "kind": "arxiv",
    "version": 4
  }
}