Pith Number

pith:BVUMBABH

pith:2016:BVUMBABHKBMG5RRJKQMLNCB2QY

not attested not anchored not stored refs pending

On the exact learnability of graph parameters: The case of partition functions

Johann A. Makowsky, Nadia Labai

arxiv:1606.04056 v1 · 2016-06-13 · cs.LG · 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{BVUMBABHKBMG5RRJKQMLNCB2QY}

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	2026-05-18T01:12:32.267176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d68c0802750586ec6295418b6883a86024aa336ae8f425d268a86ff38916470

Aliases

arxiv: 1606.04056 · arxiv_version: 1606.04056v1 · doi: 10.48550/arxiv.1606.04056 · pith_short_12: BVUMBABHKBMG · pith_short_16: BVUMBABHKBMG5RRJ · pith_short_8: BVUMBABH

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/BVUMBABHKBMG5RRJKQMLNCB2QY \
  | 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: 0d68c0802750586ec6295418b6883a86024aa336ae8f425d268a86ff38916470

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7541da99f6ad09fba2f54df4940fa1b3f21682902d2dd30f4de9a4e7607f8110",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-06-13T18:18:08Z",
    "title_canon_sha256": "570b0fe5e43d08092dd604aa963e5f941fe45f3c44b998f86d13e05404f61702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04056",
    "kind": "arxiv",
    "version": 1
  }
}