Pith Number

pith:2J3P42VJ

pith:2012:2J3P42VJJ6MATDMY5NNMAUHOCI

not attested not anchored not stored refs pending

Non-Lipschitz points and the SBV regularity of the minimum time function

Giovanni Colombo, Khai T. Nguyen, Luong V. Nguyen

arxiv:1211.7039 v1 · 2012-11-29 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2J3P42VJJ6MATDMY5NNMAUHOCI}

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	2026-05-18T03:39:42.399557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d276fe6aa94f98098d98eb5ac050ee122872e4fbcc111919b5c3495eb0fbcd23

Aliases

arxiv: 1211.7039 · arxiv_version: 1211.7039v1 · doi: 10.48550/arxiv.1211.7039 · pith_short_12: 2J3P42VJJ6MA · pith_short_16: 2J3P42VJJ6MATDMY · pith_short_8: 2J3P42VJ

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/2J3P42VJJ6MATDMY5NNMAUHOCI \
  | 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: d276fe6aa94f98098d98eb5ac050ee122872e4fbcc111919b5c3495eb0fbcd23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb8b9d0a1b0ce8c91593d6d257c50bba02d2492ac62116e3817eecf8ee2bada7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-11-29T20:09:44Z",
    "title_canon_sha256": "7501e9afd600b336e4a1adbf6b5bef14bcf8efffbc4d0a5afd91e7fba56cf7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7039",
    "kind": "arxiv",
    "version": 1
  }
}