Pith Number

pith:UK24YFAG

pith:2014:UK24YFAGI2JMBA2MCUWZJ7MADK

not attested not anchored not stored refs pending

Transitivity and bundle shifts

Anjian Xu, Ronald G. Douglas

arxiv:1403.5032 v2 · 2014-03-20 · 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{UK24YFAGI2JMBA2MCUWZJ7MADK}

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	2026-05-18T02:55:56.832534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b5cc14064692c0834c152d94fd801a8f73468f688a82d5bc4fdadf4d3b1f91

Aliases

arxiv: 1403.5032 · arxiv_version: 1403.5032v2 · doi: 10.48550/arxiv.1403.5032 · pith_short_12: UK24YFAGI2JM · pith_short_16: UK24YFAGI2JMBA2M · pith_short_8: UK24YFAG

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/UK24YFAGI2JMBA2MCUWZJ7MADK \
  | 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: a2b5cc14064692c0834c152d94fd801a8f73468f688a82d5bc4fdadf4d3b1f91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8285569e5e6eeb4a3f7d68070729e89b4e8264869577a0daa85b790160a57f9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-03-20T03:34:46Z",
    "title_canon_sha256": "9dfba6d7794ef3c0b6a4d60338a7cebde46ab471c781d8927a72ae978474e80f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5032",
    "kind": "arxiv",
    "version": 2
  }
}