Pith Number

pith:Z2WJ327H

pith:2011:Z2WJ327HHU3LUKRDBIV6ZTGNBA

not attested not anchored not stored refs pending

An elementary additive doubling inequality

Misha Rudnev

arxiv:1107.4494 v2 · 2011-07-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2WJ327HHU3LUKRDBIV6ZTGNBA}

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	2026-05-18T04:17:02.160608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceac9debe73d36ba2a230a2beccccd082d8c93cbe80246431f7311ed6336e995

Aliases

arxiv: 1107.4494 · arxiv_version: 1107.4494v2 · doi: 10.48550/arxiv.1107.4494 · pith_short_12: Z2WJ327HHU3L · pith_short_16: Z2WJ327HHU3LUKRD · pith_short_8: Z2WJ327H

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/Z2WJ327HHU3LUKRDBIV6ZTGNBA \
  | 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: ceac9debe73d36ba2a230a2beccccd082d8c93cbe80246431f7311ed6336e995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ae2663d264a90de2f44d56cd0acdc0a2ac0744ec9c767c8617ba22b00f08dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-22T12:14:53Z",
    "title_canon_sha256": "eb2fe301eaa2c1f6e69421b9fd856ff790c21b4f964fd81a0087f0ae88e8957c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4494",
    "kind": "arxiv",
    "version": 2
  }
}