Pith Number

pith:22IILGWW

pith:2016:22IILGWW73N7FHBH3GAHO2F5JS

not attested not anchored not stored refs pending

A second order local minimality criterion for the triple junction singularity of the Mumford-Shah functional

Riccardo Cristoferi

arxiv:1604.04143 v3 · 2016-04-14 · 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{22IILGWW73N7FHBH3GAHO2F5JS}

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	2026-05-18T00:51:17.685904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d690859ad6fedbf29c27d9807768bd4c9c7d1f9a484354d96f7b31daaf3764c5

Aliases

arxiv: 1604.04143 · arxiv_version: 1604.04143v3 · doi: 10.48550/arxiv.1604.04143 · pith_short_12: 22IILGWW73N7 · pith_short_16: 22IILGWW73N7FHBH · pith_short_8: 22IILGWW

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/22IILGWW73N7FHBH3GAHO2F5JS \
  | 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: d690859ad6fedbf29c27d9807768bd4c9c7d1f9a484354d96f7b31daaf3764c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e27c4c7f346a5788ebf276adff2de3e902c22ca1a2fb642e9ff99c1ac8c246ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-14T13:10:45Z",
    "title_canon_sha256": "d332c0fb2326b088dcc58bce186f71f2ec9efde62cf0c858f2b652ac6381f757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04143",
    "kind": "arxiv",
    "version": 3
  }
}