Pith Number

pith:YI3RXRFU

pith:2015:YI3RXRFUX2TUHJP67H75GSTPBR

not attested not anchored not stored refs pending

Isoperimetric functional inequalities via the maximum principle: the exterior differential systems approach

Alexander Volberg, Paata Ivanisvili

arxiv:1511.06895 v3 · 2015-11-21 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YI3RXRFUX2TUHJP67H75GSTPBR}

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	2026-05-18T00:55:58.403531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2371bc4b4bea743a5fef9ffd34a6f0c58b68d740b079dc4f1a19965c04059c4

Aliases

arxiv: 1511.06895 · arxiv_version: 1511.06895v3 · doi: 10.48550/arxiv.1511.06895 · pith_short_12: YI3RXRFUX2TU · pith_short_16: YI3RXRFUX2TUHJP6 · pith_short_8: YI3RXRFU

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/YI3RXRFUX2TUHJP67H75GSTPBR \
  | 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: c2371bc4b4bea743a5fef9ffd34a6f0c58b68d740b079dc4f1a19965c04059c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e9a29e5f47d342e6e589da39735118bcf6d28fab775e1822c701b2cd0c7e33d",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-21T16:21:37Z",
    "title_canon_sha256": "05d05d75427578b27afb2701194afd823aa8dd2dc199cfe9bc6f25803aa7b2b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06895",
    "kind": "arxiv",
    "version": 3
  }
}