Pith Number

pith:FGGR75JV

pith:2010:FGGR75JVAMZC5VTODMA2DH2NOP

not attested not anchored not stored refs pending

Convexity criteria and uniqueness of absolutely minimizing functions

Charles K. Smart, Michael G. Crandall, Scott N. Armstrong, Vesa Julin

arxiv:1003.3171 v1 · 2010-03-16 · math.AP · 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{FGGR75JVAMZC5VTODMA2DH2NOP}

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	2026-05-18T02:08:33.260199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

298d1ff53503322ed66e1b01a19f4d73c34312a44d2f54e9fd21a6d066a6db6e

Aliases

arxiv: 1003.3171 · arxiv_version: 1003.3171v1 · doi: 10.48550/arxiv.1003.3171 · pith_short_12: FGGR75JVAMZC · pith_short_16: FGGR75JVAMZC5VTO · pith_short_8: FGGR75JV

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/FGGR75JVAMZC5VTODMA2DH2NOP \
  | 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: 298d1ff53503322ed66e1b01a19f4d73c34312a44d2f54e9fd21a6d066a6db6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc3a1bbcf8d9b84cadf54b19dae13a3978bbe128aa47eabdbf5f55cddac388bc",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-03-16T15:58:39Z",
    "title_canon_sha256": "886a58787e06facde431cfdba9098d378d6dc6d605a803b7b995df01871bb650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3171",
    "kind": "arxiv",
    "version": 1
  }
}