Pith Number

pith:UE4SX3HW

pith:2011:UE4SX3HW36HZAJRVCLOCPLBOTD

not attested not anchored not stored refs pending

On supporting hyperplanes to convex bodies

Alessio Figalli, Robert J. McCann, Young-Heon Kim

arxiv:1107.1016 v1 · 2011-07-06 · math.AP · math.CA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UE4SX3HW36HZAJRVCLOCPLBOTD}

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	2026-05-18T04:18:45.819262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1392becf6df8f90263512dc27ac2e98c18bd73683b2c2e980af7318e104a99d

Aliases

arxiv: 1107.1016 · arxiv_version: 1107.1016v1 · doi: 10.48550/arxiv.1107.1016 · pith_short_12: UE4SX3HW36HZ · pith_short_16: UE4SX3HW36HZAJRV · pith_short_8: UE4SX3HW

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/UE4SX3HW36HZAJRVCLOCPLBOTD \
  | 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: a1392becf6df8f90263512dc27ac2e98c18bd73683b2c2e980af7318e104a99d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7407e0d4fa312df3452ace0a7f8a25cd4c3db2c0796034564bd10f567d25a0c0",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-06T03:02:46Z",
    "title_canon_sha256": "70ceb99288c09e69c175e885de62cbc370c39af5b2da770dc989e53339c722f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1016",
    "kind": "arxiv",
    "version": 1
  }
}