Pith Number

pith:M3XJNLBJ

pith:2010:M3XJNLBJW5ZAXGJD3Q2Q5RVZNV

not attested not anchored not stored refs pending

Pebbles and Branching Programs for Tree Evaluation

Dustin Wehr, Mark Braverman, Pierre McKenzie, Rahul Santhanam, Stephen Cook

arxiv:1005.2642 v1 · 2010-05-15 · 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{M3XJNLBJW5ZAXGJD3Q2Q5RVZNV}

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	2026-05-18T02:24:06.830778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66ee96ac29b7720b9923dc350ec6b96d62c1684a7f17152f16d35defffbbf302

Aliases

arxiv: 1005.2642 · arxiv_version: 1005.2642v1 · doi: 10.48550/arxiv.1005.2642 · pith_short_12: M3XJNLBJW5ZA · pith_short_16: M3XJNLBJW5ZAXGJD · pith_short_8: M3XJNLBJ

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/M3XJNLBJW5ZAXGJD3Q2Q5RVZNV \
  | 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: 66ee96ac29b7720b9923dc350ec6b96d62c1684a7f17152f16d35defffbbf302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cef540b2e2418baf00af822e940f23c21b1b8990a6d0c05855b72b744a35547",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-05-15T00:23:45Z",
    "title_canon_sha256": "79078d9f84da5c6dd9d4df865283cb83023eec7aa0cecaed64a622d76881c854"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2642",
    "kind": "arxiv",
    "version": 1
  }
}