Pith Number

pith:PRTLFMDF

pith:2010:PRTLFMDFH4NHDU6WSDIZYSFGBJ

not attested not anchored not stored refs pending

$\Gamma$-convergence for nonlocal phase transitions

Enrico Valdinoci, Ovidiu Savin

arxiv:1007.1725 v3 · 2010-07-10 · 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{PRTLFMDFH4NHDU6WSDIZYSFGBJ}

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	2026-05-18T04:24:54.487060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c66b2b0653f1a71d3d690d19c48a60a40fa5a439351bf24d08aebec980892b3

Aliases

arxiv: 1007.1725 · arxiv_version: 1007.1725v3 · doi: 10.48550/arxiv.1007.1725 · pith_short_12: PRTLFMDFH4NH · pith_short_16: PRTLFMDFH4NHDU6W · pith_short_8: PRTLFMDF

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/PRTLFMDFH4NHDU6WSDIZYSFGBJ \
  | 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: 7c66b2b0653f1a71d3d690d19c48a60a40fa5a439351bf24d08aebec980892b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c8420a71deeb60fc255894adb0d5ace6feb1436e64184f31b25519ec1b28d5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-07-10T14:55:51Z",
    "title_canon_sha256": "ecbe857055abd78e4128c8527dd32a3be34e56579c24fe669562ee6fadba76c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1725",
    "kind": "arxiv",
    "version": 3
  }
}