Pith Number

pith:AHCNMXIL

pith:2016:AHCNMXIL4S7OXHZU5J4LWGRWBE

not attested not anchored not stored refs pending

On the Computational Complexity of Minimal Cumulative Cost Graph Pebbling

Jeremiah Blocki, Samson Zhou

arxiv:1609.04449 v2 · 2016-09-14 · cs.CR · 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{AHCNMXIL4S7OXHZU5J4LWGRWBE}

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	2026-05-18T00:25:27.191195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01c4d65d0be4beeb9f34ea78bb1a36090502772ae486f77c386fddfe41ee9cbc

Aliases

arxiv: 1609.04449 · arxiv_version: 1609.04449v2 · doi: 10.48550/arxiv.1609.04449 · pith_short_12: AHCNMXIL4S7O · pith_short_16: AHCNMXIL4S7OXHZU · pith_short_8: AHCNMXIL

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/AHCNMXIL4S7OXHZU5J4LWGRWBE \
  | 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: 01c4d65d0be4beeb9f34ea78bb1a36090502772ae486f77c386fddfe41ee9cbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "670103053d8def470e195404f7c33ae3989d9c6521c163010756350352a137d5",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2016-09-14T21:22:51Z",
    "title_canon_sha256": "b25eba1807d2b564cce62a85c75c147d35839b1e170463f29cd5b92ef0cd9f44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04449",
    "kind": "arxiv",
    "version": 2
  }
}