Pith Number

pith:Q736NYWJ

pith:2005:Q736NYWJ4E2C4EJUT6IO33YVPZ

not attested not anchored not stored refs pending

Quantitative concentration inequalities on sample path space for mean field interaction

Fran\c{c}ois Bolley (UMPA-ENSL)

arxiv:math/0511752 v1 · 2005-11-30 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q736NYWJ4E2C4EJUT6IO33YVPZ}

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	2026-05-18T03:12:58.374489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87f7e6e2c9e1342e11349f90edef157e55cc22e9ecc3dce63fde102543835533

Aliases

arxiv: math/0511752 · arxiv_version: math/0511752v1 · doi: 10.48550/arxiv.math/0511752 · pith_short_12: Q736NYWJ4E2C · pith_short_16: Q736NYWJ4E2C4EJU · pith_short_8: Q736NYWJ

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/Q736NYWJ4E2C4EJUT6IO33YVPZ \
  | 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: 87f7e6e2c9e1342e11349f90edef157e55cc22e9ecc3dce63fde102543835533

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcd75c0fe6e109113f7ae9dd5dcae1d35ecedbf63677326f4683f72d366a15df",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-11-30T20:20:42Z",
    "title_canon_sha256": "6d3eaa1ccceedd614937fe0d0d104cabbcc666a94d9c97d42fca247c6b6a2ea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511752",
    "kind": "arxiv",
    "version": 1
  }
}