Pith Number

pith:X4ZXWEXL

pith:2015:X4ZXWEXL2CNCIQSW7AU5GJQZUF

not attested not anchored not stored refs pending

A sharp lower bound on the polygonal isoperimetric deficit

Emanuel Indrei

arxiv:1502.05978 v1 · 2015-02-20 · math.AP · math.CA · math.DG · 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{X4ZXWEXL2CNCIQSW7AU5GJQZUF}

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	2026-05-18T02:26:39.867917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf337b12ebd09a244256f829d32619a163910d530b6b6577ed16dd39de485711

Aliases

arxiv: 1502.05978 · arxiv_version: 1502.05978v1 · doi: 10.48550/arxiv.1502.05978 · pith_short_12: X4ZXWEXL2CNC · pith_short_16: X4ZXWEXL2CNCIQSW · pith_short_8: X4ZXWEXL

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/X4ZXWEXL2CNCIQSW7AU5GJQZUF \
  | 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: bf337b12ebd09a244256f829d32619a163910d530b6b6577ed16dd39de485711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95bfba1abb8dd191d5632d41d503ff0408ac49b92857450be4aa7eee3c3410f3",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-20T19:27:45Z",
    "title_canon_sha256": "fb556b2f918298032624b61e581ce9dafe2de94d3dcfa6f1bbb8497365056298"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05978",
    "kind": "arxiv",
    "version": 1
  }
}