Pith Number

pith:C7FSGD6F

pith:2021:C7FSGD6FREODE3BAXLITDLNWH3

not attested not anchored not stored refs pending

Verified Optimization

Alexander Bentkamp, Jeremy Avigad

arxiv:2111.06807 v1 · 2021-11-12 · math.OC · cs.LO · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7FSGD6FREODE3BAXLITDLNWH3}

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	2026-07-05T03:31:18.212469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17cb230fc5891c326c20bad131adb63ee36d5e1a1805ff042724b00c94d3e3e2

Aliases

arxiv: 2111.06807 · arxiv_version: 2111.06807v1 · doi: 10.48550/arxiv.2111.06807 · pith_short_12: C7FSGD6FREOD · pith_short_16: C7FSGD6FREODE3BA · pith_short_8: C7FSGD6F

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/C7FSGD6FREODE3BAXLITDLNWH3 \
  | 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: 17cb230fc5891c326c20bad131adb63ee36d5e1a1805ff042724b00c94d3e3e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2181fcbd48d82234cd950c8c5f48fbd651a8964f0cdf8042f6e77a2eded0053d",
    "cross_cats_sorted": [
      "cs.LO",
      "cs.MS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-11-12T16:38:49Z",
    "title_canon_sha256": "d1094e6b5dde0151ae08d1673077795699d364a58ec7c80f0b151bc8587666d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.06807",
    "kind": "arxiv",
    "version": 1
  }
}