Pith Number

pith:ZH7AWFQS

pith:2008:ZH7AWFQS2MLRTNRLY5YOZQSARK

not attested not anchored not stored refs pending

Some New Monotonicity Formulas and the Singular Set in the Lower Dimensional Obstacle Problem

Arshak Petrosyan, Nicola Garofalo

arxiv:0804.2508 v2 · 2008-04-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZH7AWFQS2MLRTNRLY5YOZQSARK}

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	2026-05-18T03:20:19.265958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9fe0b1612d31719b62bc770ecc2408aa8362c52bc1524a72220d3859f35122e

Aliases

arxiv: 0804.2508 · arxiv_version: 0804.2508v2 · doi: 10.48550/arxiv.0804.2508 · pith_short_12: ZH7AWFQS2MLR · pith_short_16: ZH7AWFQS2MLRTNRL · pith_short_8: ZH7AWFQS

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/ZH7AWFQS2MLRTNRLY5YOZQSARK \
  | 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: c9fe0b1612d31719b62bc770ecc2408aa8362c52bc1524a72220d3859f35122e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5bcb158b5575535b3e797eb8bbdd11abff86500e9105f74d1a7549b4e6db979",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-04-16T01:40:39Z",
    "title_canon_sha256": "211e1ca4ef7010808abe8c1c062ff932777da75736b150451cf6f29fbd8c08ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2508",
    "kind": "arxiv",
    "version": 2
  }
}