Pith Number

pith:SIBH2L52

pith:2015:SIBH2L52Q2ZTQFRR4HMWEBWCK5

not attested not anchored not stored refs pending

Algebraic Davis decomposition and asymmetric Doob inequalities

Guixiang Hong, Javier Parcet, Marius Junge

arxiv:1507.02707 v1 · 2015-07-09 · math.OA · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SIBH2L52Q2ZTQFRR4HMWEBWCK5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:15:52.765826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92027d2fba86b3381631e1d96206c257579a457f436c22da03fe7edfef0a4801

Aliases

arxiv: 1507.02707 · arxiv_version: 1507.02707v1 · doi: 10.48550/arxiv.1507.02707 · pith_short_12: SIBH2L52Q2ZT · pith_short_16: SIBH2L52Q2ZTQFRR · pith_short_8: SIBH2L52

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/SIBH2L52Q2ZTQFRR4HMWEBWCK5 \
  | 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: 92027d2fba86b3381631e1d96206c257579a457f436c22da03fe7edfef0a4801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5235f88e6a7bcf30a399acd85f37a54d8ad92a365e60d8ae6deb27f6d9ca0bc4",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-07-09T20:49:14Z",
    "title_canon_sha256": "c66878a7319ed807f5a335a7c7f4a10daec242d93d584aa97faca711b7841595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02707",
    "kind": "arxiv",
    "version": 1
  }
}