Pith Number

pith:NMBF4ASG

pith:2017:NMBF4ASGFYGA5LDKKZXCNVVHT5

not attested not anchored not stored refs pending

Entropic repulsion in $|\nabla \phi|^p$ surfaces: a large deviation bound for all $p\geq 1$

Fabio Lucio Toninelli (CNRS, Fabio Martinelli (Roma Tre), Lyon 1), Pietro Caputo (Roma Tre)

arxiv:1701.03327 v1 · 2017-01-12 · 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{NMBF4ASGFYGA5LDKKZXCNVVHT5}

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	2026-05-18T00:52:57.950029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b025e02462e0c0eac6a566e26d6a79f4969dbd1c8678f2669ad50f7fb82c4c5

Aliases

arxiv: 1701.03327 · arxiv_version: 1701.03327v1 · doi: 10.48550/arxiv.1701.03327 · pith_short_12: NMBF4ASGFYGA · pith_short_16: NMBF4ASGFYGA5LDK · pith_short_8: NMBF4ASG

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/NMBF4ASGFYGA5LDKKZXCNVVHT5 \
  | 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: 6b025e02462e0c0eac6a566e26d6a79f4969dbd1c8678f2669ad50f7fb82c4c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f05bcd2dc16115a353619bdfa6505627823960f3e4270800e563776b13e49e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-12T12:52:25Z",
    "title_canon_sha256": "7faff7531b349aec9f25a1d1264f8463ddc9e0203b2dc213aa7f40ca9c69ea35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03327",
    "kind": "arxiv",
    "version": 1
  }
}