pith. sign in
Pith Number

pith:NWVDXLGA

pith:2017:NWVDXLGAWN5XKZDRGFS7OUHMMH
not attested not anchored not stored refs pending

Cutoffs for product chains

Guan-Yu Chen, Takashi Kumagai

arxiv:1701.06665 v2 · 2017-01-23 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NWVDXLGAWN5XKZDRGFS7OUHMMH}

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 2026-05-18T00:50:59.101181Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6daa3bacc0b37b7564713165f750ec61fdfc45322209b3713bf3b7d0be2f06b9

Aliases

arxiv: 1701.06665 · arxiv_version: 1701.06665v2 · doi: 10.48550/arxiv.1701.06665 · pith_short_12: NWVDXLGAWN5X · pith_short_16: NWVDXLGAWN5XKZDR · pith_short_8: NWVDXLGA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NWVDXLGAWN5XKZDRGFS7OUHMMH \
  | 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: 6daa3bacc0b37b7564713165f750ec61fdfc45322209b3713bf3b7d0be2f06b9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "684bc8308fadc6c3a0936c76240adad8d5446a25a902066fa753257e9fd17632",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-01-23T22:55:10Z",
    "title_canon_sha256": "8d1445330b64e5cda4eb5f9ed12e0fb6f535ee18db3b5e95536e49d770255dc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06665",
    "kind": "arxiv",
    "version": 2
  }
}