Pith Number

pith:PA5CXN2U

pith:2019:PA5CXN2UBGLOF7I7BL5QGYSROS

not attested not anchored not stored refs pending

Span Programs and Quantum Space Complexity

Stacey Jeffery

arxiv:1908.04232 v2 · 2019-08-12 · quant-ph · 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{PA5CXN2UBGLOF7I7BL5QGYSROS}

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	2026-07-05T00:00:27.722678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

783a2bb7540996e2fd1f0afb03625174872ba9af7fc0c7506d271322c8e18d73

Aliases

arxiv: 1908.04232 · arxiv_version: 1908.04232v2 · doi: 10.48550/arxiv.1908.04232 · pith_short_12: PA5CXN2UBGLO · pith_short_16: PA5CXN2UBGLOF7I7 · pith_short_8: PA5CXN2U

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/PA5CXN2UBGLOF7I7BL5QGYSROS \
  | 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: 783a2bb7540996e2fd1f0afb03625174872ba9af7fc0c7506d271322c8e18d73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa9ef404207a2cbc1f5670df928779a07cecf893f39ccd794c399c142cbd75ad",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-08-12T16:32:33Z",
    "title_canon_sha256": "fc8f82e33e923c24b301cd22ba14d51f6f6b1e7f0ff155a88fa03847b4041d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04232",
    "kind": "arxiv",
    "version": 2
  }
}