Pith Number

pith:6NZVSUUI

pith:2010:6NZVSUUIUUTUWCZ2KTJB24CVRP

not attested not anchored not stored refs pending

A replacement lemma for obtaining pointwise estimates in phase transition models

Giorgio Fusco, Nicholas D. Alikakos

arxiv:1010.5455 v1 · 2010-10-26 · 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{6NZVSUUIUUTUWCZ2KTJB24CVRP}

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	2026-05-18T04:38:38.718736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f373595288a5274b0b3a54d21d70558be5eadd1c11350584eaf1992fbc4505fb

Aliases

arxiv: 1010.5455 · arxiv_version: 1010.5455v1 · doi: 10.48550/arxiv.1010.5455 · pith_short_12: 6NZVSUUIUUTU · pith_short_16: 6NZVSUUIUUTUWCZ2 · pith_short_8: 6NZVSUUI

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/6NZVSUUIUUTUWCZ2KTJB24CVRP \
  | 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: f373595288a5274b0b3a54d21d70558be5eadd1c11350584eaf1992fbc4505fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e4d8abd298727d08c6124c7e39bec0593d4f53be6d5072f6404c03d2e2cdc84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-26T16:45:52Z",
    "title_canon_sha256": "4cad1c55b1385ed1dc6e7fb1a8c0c8532ad2dd79e80285b7f05371e599ea51a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5455",
    "kind": "arxiv",
    "version": 1
  }
}