Pith Number

pith:XOUAT67N

pith:2017:XOUAT67NXYODYZROPSMVRFF27A

not attested not anchored not stored refs pending

Fixed points of Legendre-Fenchel type transforms

Alfredo N. Iusem, Daniel Reem, Simeon Reich

arxiv:1708.00464 v4 · 2017-07-25 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOUAT67NXYODYZROPSMVRFF27A}

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	2026-05-17T23:49:12.080782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bba809fbedbe1c3c662e7c995894baf803fd964742b4725f13bb5f68289d2940

Aliases

arxiv: 1708.00464 · arxiv_version: 1708.00464v4 · doi: 10.48550/arxiv.1708.00464 · pith_short_12: XOUAT67NXYOD · pith_short_16: XOUAT67NXYODYZRO · pith_short_8: XOUAT67N

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/XOUAT67NXYODYZROPSMVRFF27A \
  | 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: bba809fbedbe1c3c662e7c995894baf803fd964742b4725f13bb5f68289d2940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8155caf81b39f70b5b0dd2974f8dcea807e203abea7b58f6e9df801846fde97c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-25T15:14:52Z",
    "title_canon_sha256": "564e4cfe507aa6e2b876c19158f86ceb0d2b35e21166bce229478b5293539735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00464",
    "kind": "arxiv",
    "version": 4
  }
}