Pith Number

pith:BTGXPQXD

pith:2017:BTGXPQXDK2TCEH25PK2OX4NLKT

not attested not anchored not stored refs pending

Separation of AC$^0[\oplus]$ Formulas and Circuits

Benjamin Rossman, Srikanth Srinivasan

arxiv:1702.03625 v1 · 2017-02-13 · 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{BTGXPQXDK2TCEH25PK2OX4NLKT}

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	2026-05-18T00:50:53.352996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ccd77c2e356a6221f5d7ab4ebf1ab54de1bef8a86abfda5e0d14b83009df171

Aliases

arxiv: 1702.03625 · arxiv_version: 1702.03625v1 · doi: 10.48550/arxiv.1702.03625 · pith_short_12: BTGXPQXDK2TC · pith_short_16: BTGXPQXDK2TCEH25 · pith_short_8: BTGXPQXD

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/BTGXPQXDK2TCEH25PK2OX4NLKT \
  | 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: 0ccd77c2e356a6221f5d7ab4ebf1ab54de1bef8a86abfda5e0d14b83009df171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4ae24ef5e61ebade9a613eb74eeaa6a3e0e711455d32ccbb05ca2f133157635",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-02-13T04:23:37Z",
    "title_canon_sha256": "a758dd432b2e3a4ad7e7a223010e1f14f3a9a239ad292043f9a998211ba7d586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03625",
    "kind": "arxiv",
    "version": 1
  }
}