Pith Number

pith:GIBBJSEZ

pith:2013:GIBBJSEZLGCQZGYPWG6FP4HOKL

not attested not anchored not stored refs pending

Pebbling, Entropy and Branching Program Size Lower Bounds

Balagopal Komarath, Jayalal Sarma M. N

arxiv:1301.1425 v2 · 2013-01-08 · 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{GIBBJSEZLGCQZGYPWG6FP4HOKL}

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	2026-05-18T03:07:02.025088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

320214c89959850c9b0fb1bc57f0ee52e2e03b3c8371836f7649edf545c51553

Aliases

arxiv: 1301.1425 · arxiv_version: 1301.1425v2 · doi: 10.48550/arxiv.1301.1425 · pith_short_12: GIBBJSEZLGCQ · pith_short_16: GIBBJSEZLGCQZGYP · pith_short_8: GIBBJSEZ

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/GIBBJSEZLGCQZGYPWG6FP4HOKL \
  | 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: 320214c89959850c9b0fb1bc57f0ee52e2e03b3c8371836f7649edf545c51553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b391b7f705539d3bca633803608f01699f6b9fbf924c38852b08b1a278e01f7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-01-08T06:52:06Z",
    "title_canon_sha256": "e28e616a560eab81b02e6ed1732c4d83da46add6b4e78ad277c7818cbae87997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1425",
    "kind": "arxiv",
    "version": 2
  }
}