Pith Number

pith:BP3FWXAM

pith:2021:BP3FWXAMNW6PZONIOXXXSAJKSJ

not attested not anchored not stored refs pending

The principal transmission condition

Gerd Grubb

arxiv:2104.05581 v4 · 2021-04-12 · math.AP · 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{BP3FWXAMNW6PZONIOXXXSAJKSJ}

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	2026-07-05T03:07:48.369279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf65b5c0c6dbcfcb9a875ef79012a92420528c41132fca2ad8bfee64f582c6b

Aliases

arxiv: 2104.05581 · arxiv_version: 2104.05581v4 · doi: 10.48550/arxiv.2104.05581 · pith_short_12: BP3FWXAMNW6P · pith_short_16: BP3FWXAMNW6PZONI · pith_short_8: BP3FWXAM

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/BP3FWXAMNW6PZONIOXXXSAJKSJ \
  | 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: 0bf65b5c0c6dbcfcb9a875ef79012a92420528c41132fca2ad8bfee64f582c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ad99700e88f39b4b00bd88fc138f3b3ee7ace0d647fbbba435938359737e6d3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-04-12T15:54:37Z",
    "title_canon_sha256": "c5512731364ec827c9f0825e989960d153c8bd1c45c3736dfd686f5d8209de98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.05581",
    "kind": "arxiv",
    "version": 4
  }
}