Pith Number

pith:UK3UYMIY

pith:2016:UK3UYMIYHDEJO3ZYMCJZPGQWK3

not attested not anchored not stored refs pending

Extended Learning Graphs for Triangle Finding

Fr\'ed\'eric Magniez, Mathieu Lauri\`ere, Titouan Carette

arxiv:1609.07786 v2 · 2016-09-25 · quant-ph · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UK3UYMIYHDEJO3ZYMCJZPGQWK3}

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	2026-05-18T01:02:30.234616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b74c311838c8976f386093979a1656da36fb923bda74dffe0883cc3063f84f

Aliases

arxiv: 1609.07786 · arxiv_version: 1609.07786v2 · doi: 10.48550/arxiv.1609.07786 · pith_short_12: UK3UYMIYHDEJ · pith_short_16: UK3UYMIYHDEJO3ZY · pith_short_8: UK3UYMIY

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/UK3UYMIYHDEJO3ZYMCJZPGQWK3 \
  | 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: a2b74c311838c8976f386093979a1656da36fb923bda74dffe0883cc3063f84f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "630e43f58f30be2e408b44a5e319b06606f20418f38d1f82e7aa85c4a47d8adb",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-25T19:33:40Z",
    "title_canon_sha256": "cf5dbf40dfe430bd0e8347e87676b5c57c46eaa92eadc3de6e0294527f3635bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07786",
    "kind": "arxiv",
    "version": 2
  }
}