Pith Number

pith:F7Z3RXHG

pith:2014:F7Z3RXHGME2OOD5AMZ6OGAOLXX

not attested not anchored not stored refs pending

On some positive definite functions

Rajendra Bhatia, Tanvi Jain

arxiv:1409.7479 v1 · 2014-09-26 · 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{F7Z3RXHGME2OOD5AMZ6OGAOLXX}

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	2026-05-18T02:41:52.580710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff3b8dce66134e70fa0667ce301cbbddb48fad1e54f7c4d1cb6a615dde1db69

Aliases

arxiv: 1409.7479 · arxiv_version: 1409.7479v1 · doi: 10.48550/arxiv.1409.7479 · pith_short_12: F7Z3RXHGME2O · pith_short_16: F7Z3RXHGME2OOD5A · pith_short_8: F7Z3RXHG

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/F7Z3RXHGME2OOD5AMZ6OGAOLXX \
  | 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: 2ff3b8dce66134e70fa0667ce301cbbddb48fad1e54f7c4d1cb6a615dde1db69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b617c35a1243010b7f93bb5947e6af91b36624d6c84e7771ebfa8a146a9a5db8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-26T06:45:53Z",
    "title_canon_sha256": "e582f3670a9c7031a359cfd69833be9b2cc531644ab0856bfed74f5d1bc9404e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7479",
    "kind": "arxiv",
    "version": 1
  }
}