Pith Number

pith:GOTXSU2K

pith:2015:GOTXSU2KKV4SSGJEBFG73JQZNZ

not attested not anchored not stored refs pending

Helton-Howe-Carey-Pincus Trace Formula and Krein's Theorem

Arup Chattopadhyay, Kalyan B. Sinha

arxiv:1511.07967 v2 · 2015-11-25 · 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{GOTXSU2KKV4SSGJEBFG73JQZNZ}

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	2026-05-18T01:23:07.820139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33a779534a5579291924094dfda6196e420fadfe62fab29c6a384a6d7a0e9f87

Aliases

arxiv: 1511.07967 · arxiv_version: 1511.07967v2 · doi: 10.48550/arxiv.1511.07967 · pith_short_12: GOTXSU2KKV4S · pith_short_16: GOTXSU2KKV4SSGJE · pith_short_8: GOTXSU2K

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/GOTXSU2KKV4SSGJEBFG73JQZNZ \
  | 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: 33a779534a5579291924094dfda6196e420fadfe62fab29c6a384a6d7a0e9f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4600d37ad6a1fd2bcced333855d12e22e5cb1ada9b2b4de043d3f8f63b07ee17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-11-25T06:41:53Z",
    "title_canon_sha256": "b40ab654a34c9b929c550cf5f42ad362e08948a5b5db6002dd9a0ab19073ad13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07967",
    "kind": "arxiv",
    "version": 2
  }
}