Pith Number

pith:5NB5NNUY

pith:2012:5NB5NNUYKZDN7HONR7EW47F63P

not attested not anchored not stored refs pending

Existence of functions of fixed trace and minimum weighted total variation

Alexandru Tamasan, Gregory Spradlin

arxiv:1206.1509 v2 · 2012-06-07 · math.OC · 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{5NB5NNUYKZDN7HONR7EW47F63P}

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	2026-05-18T03:46:48.940288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb43d6b6985646df9dcd8fc96e7cbedbd56f2350b86416212518f283b31d1795

Aliases

arxiv: 1206.1509 · arxiv_version: 1206.1509v2 · doi: 10.48550/arxiv.1206.1509 · pith_short_12: 5NB5NNUYKZDN · pith_short_16: 5NB5NNUYKZDN7HON · pith_short_8: 5NB5NNUY

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/5NB5NNUYKZDN7HONR7EW47F63P \
  | 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: eb43d6b6985646df9dcd8fc96e7cbedbd56f2350b86416212518f283b31d1795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65b215c4bb5c9204f2ec9b2136c1dde81fe71db80604ceb4703322c5767deb8c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-06-07T14:37:45Z",
    "title_canon_sha256": "aecc7030d9b06a4df072d2744319bd8b2cd79b9a49d4ba2e703284069c4cd414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1509",
    "kind": "arxiv",
    "version": 2
  }
}