Pith Number

pith:7RVWBIYN

pith:2010:7RVWBIYNKW5Z7QPLOMCRQZEIVX

not attested not anchored not stored refs pending

A simple proof of the characterization of functions of low Aviles Giga energy on a ball via regularity

Andrew Lorent

arxiv:1004.2274 v2 · 2010-04-13 · 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{7RVWBIYNKW5Z7QPLOMCRQZEIVX}

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	2026-05-18T04:22:02.462185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc6b60a30d55bb9fc1eb7305186488adccc183509736612f3668d5eecc294e34

Aliases

arxiv: 1004.2274 · arxiv_version: 1004.2274v2 · doi: 10.48550/arxiv.1004.2274 · pith_short_12: 7RVWBIYNKW5Z · pith_short_16: 7RVWBIYNKW5Z7QPL · pith_short_8: 7RVWBIYN

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/7RVWBIYNKW5Z7QPLOMCRQZEIVX \
  | 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: fc6b60a30d55bb9fc1eb7305186488adccc183509736612f3668d5eecc294e34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2daa5d75530329a08846758ea917b3fecb8673578b09ef9aaa300f70bfe2b590",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-04-13T21:32:28Z",
    "title_canon_sha256": "9f984ff91045f993fc02835c57857165f78fc433d6f3fd07a12a41234dc7423b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2274",
    "kind": "arxiv",
    "version": 2
  }
}