Pith Number

pith:YX2K3ZEM

pith:2014:YX2K3ZEMZTCURRZDFP2XWO45JY

not attested not anchored not stored refs pending

An improvement of a theorem of Heinrich, Mankiewicz, Sims, and Yost

Trond A. Abrahamsen

arxiv:1411.0425 v2 · 2014-11-03 · 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{YX2K3ZEMZTCURRZDFP2XWO45JY}

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	2026-05-18T01:36:20.396966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5f4ade48cccc548c7232bf57b3b9d4e2e5fc1c3357f4843844738f64a442710

Aliases

arxiv: 1411.0425 · arxiv_version: 1411.0425v2 · doi: 10.48550/arxiv.1411.0425 · pith_short_12: YX2K3ZEMZTCU · pith_short_16: YX2K3ZEMZTCURRZD · pith_short_8: YX2K3ZEM

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/YX2K3ZEMZTCURRZDFP2XWO45JY \
  | 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: c5f4ade48cccc548c7232bf57b3b9d4e2e5fc1c3357f4843844738f64a442710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4348e44bad2a504ec7bac34fbdc56ba17506406e0f464cc86b0069f7a13100f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-11-03T11:10:11Z",
    "title_canon_sha256": "81c5904d041a2cba1caf40072b6f0414f141b498a29bc7260ac8a8e598001d54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0425",
    "kind": "arxiv",
    "version": 2
  }
}