Pith Number

pith:BMURABNT

pith:2017:BMURABNTMVQ32NYDVIKHA7VQWE

not attested not anchored not stored refs pending

Sparse domination via the helicoidal method

Camil Muscalu, Cristina Benea

arxiv:1707.05484 v2 · 2017-07-18 · 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{BMURABNTMVQ32NYDVIKHA7VQWE}

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	2026-05-18T00:15:47.192257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b291005b36561bd3703aa14707eb0b1315487a4e85ad0b5c1cb425dc5d5a3ff

Aliases

arxiv: 1707.05484 · arxiv_version: 1707.05484v2 · doi: 10.48550/arxiv.1707.05484 · pith_short_12: BMURABNTMVQ3 · pith_short_16: BMURABNTMVQ32NYD · pith_short_8: BMURABNT

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/BMURABNTMVQ32NYDVIKHA7VQWE \
  | 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: 0b291005b36561bd3703aa14707eb0b1315487a4e85ad0b5c1cb425dc5d5a3ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e6a4ac937fa5577d7f7c03d707f525e99452c6e0f4d0dec3a6445a015ef762f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-18T06:01:26Z",
    "title_canon_sha256": "0a7084cd39ad1c9cf65c0f095d7bf1598c37240c98f391986e71950d164207f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05484",
    "kind": "arxiv",
    "version": 2
  }
}