Pith Number

pith:NGTI2MKM

pith:2012:NGTI2MKMOBCSTCJNTFQKYNWFG7

not attested not anchored not stored refs pending

More sums of Hilbert frames

A. Najati, E. Osgooei, M. M. Saem, M. R. Abdollahpour

arxiv:1207.6854 v1 · 2012-07-30 · 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{NGTI2MKMOBCSTCJNTFQKYNWFG7}

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	2026-05-18T03:49:48.424919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69a68d314c704529892d9960ac36c537f331988f249d5ba6ba96ded3fa58a16d

Aliases

arxiv: 1207.6854 · arxiv_version: 1207.6854v1 · doi: 10.48550/arxiv.1207.6854 · pith_short_12: NGTI2MKMOBCS · pith_short_16: NGTI2MKMOBCSTCJN · pith_short_8: NGTI2MKM

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/NGTI2MKMOBCSTCJNTFQKYNWFG7 \
  | 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: 69a68d314c704529892d9960ac36c537f331988f249d5ba6ba96ded3fa58a16d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e88c3bbb31c3223fcbcdbc7ce33393bbf87714a780af0dca1a5fa953854ea140",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-30T07:16:15Z",
    "title_canon_sha256": "58b6037c971d34043edaf70c8ae44580bdeb3075608578186052131f061ec769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6854",
    "kind": "arxiv",
    "version": 1
  }
}