Pith Number

pith:7VOUEM6F

pith:2013:7VOUEM6FSJRXSFHGZHBLR6OZRH

not attested not anchored not stored refs pending

Certification of Bounds of Non-linear Functions: the Templates Method

Benjamin Werner, St\'ephane Gaubert, Victor Magron, Xavier Allamigeon

arxiv:1307.3231 v1 · 2013-07-10 · cs.SC · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VOUEM6FSJRXSFHGZHBLR6OZRH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:54:05.146528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5d4233c592637914e6c9c2b8f9d989d44bc5a9d9171a0243a54b370081e5c6

Aliases

arxiv: 1307.3231 · arxiv_version: 1307.3231v1 · doi: 10.48550/arxiv.1307.3231 · pith_short_12: 7VOUEM6FSJRX · pith_short_16: 7VOUEM6FSJRXSFHG · pith_short_8: 7VOUEM6F

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/7VOUEM6FSJRXSFHGZHBLR6OZRH \
  | 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: fd5d4233c592637914e6c9c2b8f9d989d44bc5a9d9171a0243a54b370081e5c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c972e1904c9d51011a2bf7449ad862cb726876c38ffb41177c18a1890331fb75",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2013-07-10T09:53:14Z",
    "title_canon_sha256": "9b873643879429bfb2f64d1c1dcc4f296092964b1dfc4d64658d4e2544ae828f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3231",
    "kind": "arxiv",
    "version": 1
  }
}