Pith Number

pith:GG4AAB62

pith:2013:GG4AAB62ZOCOMM62EEAPHWYDZW

not attested not anchored not stored refs pending

On the Optimal Representation of Algebraic Expressions of Fibonacci Graphs

Mark Korenblit, Vadim E. Levit

arxiv:1305.2645 v1 · 2013-05-12 · cs.DS · 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{GG4AAB62ZOCOMM62EEAPHWYDZW}

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	2026-05-18T03:25:57.284561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31b80007dacb84e633da2100f3db03cdba9c3c0a55df38fc7606f270c91b2e33

Aliases

arxiv: 1305.2645 · arxiv_version: 1305.2645v1 · doi: 10.48550/arxiv.1305.2645 · pith_short_12: GG4AAB62ZOCO · pith_short_16: GG4AAB62ZOCOMM62 · pith_short_8: GG4AAB62

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/GG4AAB62ZOCOMM62EEAPHWYDZW \
  | 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: 31b80007dacb84e633da2100f3db03cdba9c3c0a55df38fc7606f270c91b2e33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9228903d13314fea4f15c8d1b20a2fb84d294500bb9390220756ee5225afcc8b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-05-12T23:26:56Z",
    "title_canon_sha256": "f0e6f6e154da3a8026c04eaf5d1f5bd9d62db7ee7ed32b95d497d0413c769c52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2645",
    "kind": "arxiv",
    "version": 1
  }
}