Pith Number

pith:DJZO7ZN4

pith:2012:DJZO7ZN4KBTMWZYN5SC3VIKN6Q

not attested not anchored not stored refs pending

There are Thin Minimizers of the L1TV Functional

Benjamin Van Dyke, Kevin R. Vixie

arxiv:1206.4357 v1 · 2012-06-19 · math.CA · 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{DJZO7ZN4KBTMWZYN5SC3VIKN6Q}

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	2026-05-18T03:53:06.099437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a72efe5bc5066cb670dec85baa14df403ce7a302f0053f52693501d39b5f22e

Aliases

arxiv: 1206.4357 · arxiv_version: 1206.4357v1 · doi: 10.48550/arxiv.1206.4357 · pith_short_12: DJZO7ZN4KBTM · pith_short_16: DJZO7ZN4KBTMWZYN · pith_short_8: DJZO7ZN4

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/DJZO7ZN4KBTMWZYN5SC3VIKN6Q \
  | 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: 1a72efe5bc5066cb670dec85baa14df403ce7a302f0053f52693501d39b5f22e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582577339e4d43831e6b4920966162ed243baf3b2f752c69cfc09f73cfd4a945",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-19T23:04:00Z",
    "title_canon_sha256": "bed58dd3a13666f8846fead3860c344d1a9d82cc9685b30a19055288a73d2440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4357",
    "kind": "arxiv",
    "version": 1
  }
}