Pith Number

pith:4ZRZX3ZW

pith:2026:4ZRZX3ZWUH2XDKBGKR7HDD7BIY

not attested not anchored not stored refs pending

Tao's Equational Proof Challenge Accepted (Technical Report)

Jasmin Blanchette, Lydia Kondylidou, Marijn J.H. Heule

arxiv:2605.21200 v1 · 2026-05-20 · cs.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZRZX3ZWUH2XDKBGKR7HDD7BIY}

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	2026-05-21T01:05:43.121811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6639bef36a1f571a826547e718fe14616666bc8d6496f8d1c5a8c443e5702ba

Aliases

arxiv: 2605.21200 · arxiv_version: 2605.21200v1 · doi: 10.48550/arxiv.2605.21200 · pith_short_12: 4ZRZX3ZWUH2X · pith_short_16: 4ZRZX3ZWUH2XDKBG · pith_short_8: 4ZRZX3ZW

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/4ZRZX3ZWUH2XDKBGKR7HDD7BIY \
  | 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: e6639bef36a1f571a826547e718fe14616666bc8d6496f8d1c5a8c443e5702ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46f57638eb12a171f0ef1ffe7efe803d2037eed6b3bb72d09c64e3dd765b1dc7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-05-20T14:01:21Z",
    "title_canon_sha256": "ec8f8a0425ba50870650d877de4582491443d19dec99272b4ec1be7bf6f8b8ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21200",
    "kind": "arxiv",
    "version": 1
  }
}