Pith Number

pith:7FRNB6OG

pith:2020:7FRNB6OG4JCGFYXV2XQAILYQWV

not attested not anchored not stored refs pending

Fenchel-Moreau identities on convex cones

Hong-Bin Chen, Jiaming Xia

arxiv:2011.06979 v3 · 2020-11-13 · math.FA · 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{7FRNB6OG4JCGFYXV2XQAILYQWV}

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.

Cited by

1 paper in Pith

On free energy of non-convex multi-species spin glasses

Receipt and verification

First computed	2026-07-05T04:34:44.447044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f962d0f9c6e24462e2f5d5e0042f10b5477a834403bf730d96f2d6d93dda393d

Aliases

arxiv: 2011.06979 · arxiv_version: 2011.06979v3 · doi: 10.48550/arxiv.2011.06979 · pith_short_12: 7FRNB6OG4JCG · pith_short_16: 7FRNB6OG4JCGFYXV · pith_short_8: 7FRNB6OG

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/7FRNB6OG4JCGFYXV2XQAILYQWV \
  | 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: f962d0f9c6e24462e2f5d5e0042f10b5477a834403bf730d96f2d6d93dda393d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "730bcf103cd681da95644fa430c4b0e12825ae1acc917234cd06611e401932a2",
    "cross_cats_sorted": [
      "math.CA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-11-13T15:57:01Z",
    "title_canon_sha256": "23dc8f09fb17bc8ea70b5200b19e3f13ed5f20a30dedc5b1441789e31ec4be56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.06979",
    "kind": "arxiv",
    "version": 3
  }
}