Pith Number

pith:WHRCG3TD

pith:2017:WHRCG3TDUAI5EYNUV2XZYA4VUR

not attested not anchored not stored refs pending

On a generalisation of Krein's example

Christoph Uebersohn, Olaf Post

arxiv:1710.10975 v1 · 2017-10-30 · math.FA · math-ph · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHRCG3TDUAI5EYNUV2XZYA4VUR}

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	2026-05-18T00:31:45.975504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e2236e63a011d261b4aeaf9c0395a44f55ecf539896b4954ed0a78a8da1dbb

Aliases

arxiv: 1710.10975 · arxiv_version: 1710.10975v1 · doi: 10.48550/arxiv.1710.10975 · pith_short_12: WHRCG3TDUAI5 · pith_short_16: WHRCG3TDUAI5EYNU · pith_short_8: WHRCG3TD

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/WHRCG3TDUAI5EYNUV2XZYA4VUR \
  | 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: b1e2236e63a011d261b4aeaf9c0395a44f55ecf539896b4954ed0a78a8da1dbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f66d77043acd1c2c6b2cbf4882146de0a82a5aaeac5f42f90648d92d7bc1d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-10-30T14:32:41Z",
    "title_canon_sha256": "12421355313f378055068c9a7068bd89e5987b5387581b53f7f4f47b5bf459a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10975",
    "kind": "arxiv",
    "version": 1
  }
}