Pith Number

pith:E4DL27GW

pith:2012:E4DL27GWRPNA4MQQ37BHFZ4ABG

not attested not anchored not stored refs pending

Energy inequalities for cutoff functions and some applications

Martin T. Barlow, Sebastian Andres

arxiv:1202.0722 v2 · 2012-02-03 · 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{E4DL27GWRPNA4MQQ37BHFZ4ABG}

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	2026-05-18T02:23:35.874545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2706bd7cd68bda0e3210dfc272e7800994e5304cff0455ee4708253af738a3c8

Aliases

arxiv: 1202.0722 · arxiv_version: 1202.0722v2 · doi: 10.48550/arxiv.1202.0722 · pith_short_12: E4DL27GWRPNA · pith_short_16: E4DL27GWRPNA4MQQ · pith_short_8: E4DL27GW

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/E4DL27GWRPNA4MQQ37BHFZ4ABG \
  | 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: 2706bd7cd68bda0e3210dfc272e7800994e5304cff0455ee4708253af738a3c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b0b52182f99fea8e80a5d309cddeab51a99db775fd3d32caa293fa7684d6552",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-03T14:51:54Z",
    "title_canon_sha256": "e54d42357663afd3631421da47bab5c3e20b044c6d8ed77d9ce945a82b48cfb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0722",
    "kind": "arxiv",
    "version": 2
  }
}