Pith Number

pith:VDSCMGXQ

pith:2016:VDSCMGXQRMUKI2L5GWUV3RDWIU

not attested not anchored not stored refs pending

On concentration inequalities and their applications for Gibbs measures in lattice systems

F. Redig, J.-R. Chazottes, P. Collet

arxiv:1610.06502 v4 · 2016-10-20 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDSCMGXQRMUKI2L5GWUV3RDWIU}

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	2026-05-18T00:32:14.601991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8e4261af08b28a4697d35a95dc476452b731a885fa740fce3262b115cb9ffad

Aliases

arxiv: 1610.06502 · arxiv_version: 1610.06502v4 · doi: 10.48550/arxiv.1610.06502 · pith_short_12: VDSCMGXQRMUK · pith_short_16: VDSCMGXQRMUKI2L5 · pith_short_8: VDSCMGXQ

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/VDSCMGXQRMUKI2L5GWUV3RDWIU \
  | 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: a8e4261af08b28a4697d35a95dc476452b731a885fa740fce3262b115cb9ffad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f99286c3287aff95057c84a7f89a120b51d0359734700205e67e9a6e550b32b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-20T17:07:37Z",
    "title_canon_sha256": "368afc5ee7c3719fa78d474c093f6acfa8f91ef706aacdf5ca8461b216988f11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06502",
    "kind": "arxiv",
    "version": 4
  }
}