Pith Number

pith:EP2ELRFE

pith:2015:EP2ELRFEEMTM2LC62BY5XLNO72

not attested not anchored not stored refs pending

Spaces of regular abstract martingales

Foivos Xanthos, Vladimir G. Troitsky

arxiv:1501.01685 v1 · 2015-01-07 · 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{EP2ELRFEEMTM2LC62BY5XLNO72}

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	2026-05-18T02:29:46.665395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23f445c4a42326cd2c5ed071dbadaefe88608be15b7074998d52eba9bf963aa1

Aliases

arxiv: 1501.01685 · arxiv_version: 1501.01685v1 · doi: 10.48550/arxiv.1501.01685 · pith_short_12: EP2ELRFEEMTM · pith_short_16: EP2ELRFEEMTM2LC6 · pith_short_8: EP2ELRFE

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/EP2ELRFEEMTM2LC62BY5XLNO72 \
  | 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: 23f445c4a42326cd2c5ed071dbadaefe88608be15b7074998d52eba9bf963aa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59beb57ac6e2d5e7c7ea0d606f89ea00a0357ef85c18949e9e47bd281dc93412",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-01-07T23:29:13Z",
    "title_canon_sha256": "23a44c65ef14d43e174cb09e7123d9d0c641b59b11db9981afec18962112e6c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01685",
    "kind": "arxiv",
    "version": 1
  }
}