Pith Number

pith:FN4LPK3L

pith:2011:FN4LPK3LL63LTNTZXDPXG37YO3

not attested not anchored not stored refs pending

Laminates Meet Burkholder Functions

Alexander Volberg, Laszlo Szekelyhidi Jr., Nicholas Boros

arxiv:1109.4865 v2 · 2011-09-22 · math.AP · 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{FN4LPK3LL63LTNTZXDPXG37YO3}

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	2026-05-18T04:06:54.768889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b78b7ab6b5fb6b9b679b8df736ff876f2af7c1f59663fb3ce9ffcfdb8181e42

Aliases

arxiv: 1109.4865 · arxiv_version: 1109.4865v2 · doi: 10.48550/arxiv.1109.4865 · pith_short_12: FN4LPK3LL63L · pith_short_16: FN4LPK3LL63LTNTZ · pith_short_8: FN4LPK3L

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/FN4LPK3LL63LTNTZXDPXG37YO3 \
  | 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: 2b78b7ab6b5fb6b9b679b8df736ff876f2af7c1f59663fb3ce9ffcfdb8181e42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caa62b3c9d702a101526d88c2d404d59681f58717111e6d4053d325e65b47816",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-22T16:14:28Z",
    "title_canon_sha256": "5aabf98dd5cfab5231259ad2dbd2315ee8f6979f67fce3314c30b98d2bba5d92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4865",
    "kind": "arxiv",
    "version": 2
  }
}