Pith Number

pith:VZ4DZQ6W

pith:2026:VZ4DZQ6WSFGLEMADSMELLX7S2L

not attested not anchored not stored refs pending

The alignment time function

Marco van den Beld-Serrano

arxiv:2606.20481 v1 · 2026-06-18 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZ4DZQ6WSFGLEMADSMELLX7S2L}

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	2026-06-19T16:13:13.409300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae783cc3d6914cb230039308b5dff2d2ef5870f32cd48f9c3542a1e52dcd431b

Aliases

arxiv: 2606.20481 · arxiv_version: 2606.20481v1 · doi: 10.48550/arxiv.2606.20481 · pith_short_12: VZ4DZQ6WSFGL · pith_short_16: VZ4DZQ6WSFGLEMAD · pith_short_8: VZ4DZQ6W

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/VZ4DZQ6WSFGLEMADSMELLX7S2L \
  | 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: ae783cc3d6914cb230039308b5dff2d2ef5870f32cd48f9c3542a1e52dcd431b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86bf4dec3ab0f7d72933b5f0467eeb8885348a79d1aaabaf1c4007cc4e2a6c29",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-18T16:59:40Z",
    "title_canon_sha256": "afda5a96f9415060286ac80dab16ac6408313fd60b2a9df2c210139abf96c576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20481",
    "kind": "arxiv",
    "version": 1
  }
}