Pith Number

pith:73ZILREE

pith:2022:73ZILREEHAULC3UBBWVF42RPIA

not attested not anchored not stored refs pending

Separations in Proof Complexity and TFNP

Alexandros Hollender, Gilbert Maystre, Mika G\"o\"os, Ran Tao, Robert Robere, Siddhartha Jain, William Pires

arxiv:2205.02168 v3 · 2022-05-04 · 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{73ZILREEHAULC3UBBWVF42RPIA}

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	2026-07-05T08:54:00.125804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fef285c4843828b16e810daa5e6a2f4018c432b7e0751af82e298b69a6cb8999

Aliases

arxiv: 2205.02168 · arxiv_version: 2205.02168v3 · doi: 10.48550/arxiv.2205.02168 · pith_short_12: 73ZILREEHAUL · pith_short_16: 73ZILREEHAULC3UB · pith_short_8: 73ZILREE

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/73ZILREEHAULC3UBBWVF42RPIA \
  | 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: fef285c4843828b16e810daa5e6a2f4018c432b7e0751af82e298b69a6cb8999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d8f5b345b0218b22ce65e91fa78448f2f740b521fa46d8ba0a82e5634dab4a0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2022-05-04T16:36:23Z",
    "title_canon_sha256": "9ae6c6cad6b52518bb168d48b7614afb8f2e5bb5a3b7f5ced5ccd67ce211fda2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.02168",
    "kind": "arxiv",
    "version": 3
  }
}