Pith Number

pith:TUGIN5PX

pith:2016:TUGIN5PXJVTDNRQ75ICTVLBM7D

not attested not anchored not stored refs pending

Strong times and first hitting

Elisabetta Scoppola, Francesco Manzo

arxiv:1606.07244 v1 · 2016-06-23 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUGIN5PXJVTDNRQ75ICTVLBM7D}

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	2026-05-18T01:11:58.390382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d0c86f5f74d6636c61fea053aac2cf8d50a9a051234c65984304b321e99c1cd

Aliases

arxiv: 1606.07244 · arxiv_version: 1606.07244v1 · doi: 10.48550/arxiv.1606.07244 · pith_short_12: TUGIN5PXJVTD · pith_short_16: TUGIN5PXJVTDNRQ7 · pith_short_8: TUGIN5PX

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/TUGIN5PXJVTDNRQ75ICTVLBM7D \
  | 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: 9d0c86f5f74d6636c61fea053aac2cf8d50a9a051234c65984304b321e99c1cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1bdd4e30b85705defabf783250d40338ac6b8159cf16cf8ca6b7a8429572b86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-23T09:35:16Z",
    "title_canon_sha256": "bdecf5366f03b1846a79694719ce4c2d17f2cd2c57fa265c88328f37fc41c93f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07244",
    "kind": "arxiv",
    "version": 1
  }
}