Pith Number

pith:XFMIQ7VT

pith:2016:XFMIQ7VTBRR3OJ4KVAPF226K4A

not attested not anchored not stored refs pending

Lower bounds for areas of images of discs

Bogdan Klishchuk, Ruslan Salimov

arxiv:1607.05101 v1 · 2016-06-28 · 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{XFMIQ7VTBRR3OJ4KVAPF226K4A}

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	2026-05-18T01:10:55.914654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b958887eb30c63b7278aa81e5d6bcae00370137cd068253bb738eeff5177beab

Aliases

arxiv: 1607.05101 · arxiv_version: 1607.05101v1 · doi: 10.48550/arxiv.1607.05101 · pith_short_12: XFMIQ7VTBRR3 · pith_short_16: XFMIQ7VTBRR3OJ4K · pith_short_8: XFMIQ7VT

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/XFMIQ7VTBRR3OJ4KVAPF226K4A \
  | 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: b958887eb30c63b7278aa81e5d6bcae00370137cd068253bb738eeff5177beab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd0de2493437ca28433a13628f15bdd0a1fe487f5f3158bd91a2f3e26f0d7afa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-28T15:17:33Z",
    "title_canon_sha256": "624b6ecd30f6de568b2d2b3e151f04ad152b72dc2e5df723a8507b240940eea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05101",
    "kind": "arxiv",
    "version": 1
  }
}