Pith Number

pith:FBNKWL4N

pith:2016:FBNKWL4NWT6PY6DWAJFZNTMBGP

not attested not anchored not stored refs pending

Shadow couplings

Mathias Beiglboeck, Nicolas Juillet

arxiv:1609.03340 v1 · 2016-09-12 · 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{FBNKWL4NWT6PY6DWAJFZNTMBGP}

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	2026-05-18T01:04:47.166390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

285aab2f8db4fcfc7876024b96cd8133cf75e57734d8a2a62e6c2546a148ec7b

Aliases

arxiv: 1609.03340 · arxiv_version: 1609.03340v1 · doi: 10.48550/arxiv.1609.03340 · pith_short_12: FBNKWL4NWT6P · pith_short_16: FBNKWL4NWT6PY6DW · pith_short_8: FBNKWL4N

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/FBNKWL4NWT6PY6DWAJFZNTMBGP \
  | 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: 285aab2f8db4fcfc7876024b96cd8133cf75e57734d8a2a62e6c2546a148ec7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cb5b582c0176b37f59278b42633c4d71bad180dc9793607de5d805f2e87500e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-12T10:59:53Z",
    "title_canon_sha256": "c70c8913755f51bba46750b69f9602ca0c505c5f6bd7ee31935f8368534e6140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03340",
    "kind": "arxiv",
    "version": 1
  }
}