Pith Number

pith:IGT2B5XC

pith:2013:IGT2B5XCXXI4QDNYVHEVWPJF4L

not attested not anchored not stored refs pending

Some higher order isoperimetric inequalities via the method of optimal transport

Sun-Yung A. Chang, Yi Wang

arxiv:1305.3004 v1 · 2013-05-14 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGT2B5XCXXI4QDNYVHEVWPJF4L}

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	2026-05-18T03:25:45.177596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41a7a0f6e2bdd1c80db8a9c95b3d25e2f6bd38f9f2a58a60eac3368d6ab4ce7a

Aliases

arxiv: 1305.3004 · arxiv_version: 1305.3004v1 · doi: 10.48550/arxiv.1305.3004 · pith_short_12: IGT2B5XCXXI4 · pith_short_16: IGT2B5XCXXI4QDNY · pith_short_8: IGT2B5XC

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/IGT2B5XCXXI4QDNYVHEVWPJF4L \
  | 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: 41a7a0f6e2bdd1c80db8a9c95b3d25e2f6bd38f9f2a58a60eac3368d6ab4ce7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "862e2b6f04b2dcb01efc1bd5143800c7d8e4bd36e78e8522e1faa049c0abd1b1",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-14T02:40:48Z",
    "title_canon_sha256": "cd0a34976406cf57110cc69221506e405d2c615677799f90182064ee839f9285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3004",
    "kind": "arxiv",
    "version": 1
  }
}