Pith Number

pith:46QMPCLK

pith:2014:46QMPCLKNBX7KP54SL72SUXXUU

not attested not anchored not stored refs pending

Extremal functions for modules of systems of measures

Alexander Vasil'ev, Irina Markina, Melkana Brakalova

arxiv:1409.1626 v2 · 2014-09-04 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46QMPCLKNBX7KP54SL72SUXXUU}

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	2026-05-18T02:42:47.402856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7a0c7896a686ff53fbc92ffa952f7a51465e8cac9d30640ca2b4e6833afae9e

Aliases

arxiv: 1409.1626 · arxiv_version: 1409.1626v2 · doi: 10.48550/arxiv.1409.1626 · pith_short_12: 46QMPCLKNBX7 · pith_short_16: 46QMPCLKNBX7KP54 · pith_short_8: 46QMPCLK

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/46QMPCLKNBX7KP54SL72SUXXUU \
  | 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: e7a0c7896a686ff53fbc92ffa952f7a51465e8cac9d30640ca2b4e6833afae9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a95e3e8ad09f951b6d658eceb88a515003e051be6eaa5b0a92b5b3ca68e4524",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-09-04T22:26:48Z",
    "title_canon_sha256": "77dc90339695615b78ef12be36cf8149e4ecd8004e41ff94620c8365013d3baf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1626",
    "kind": "arxiv",
    "version": 2
  }
}