Pith Number

pith:JYLYGEOA

pith:2016:JYLYGEOAHS2BT5DE4NEUS7MCYL

not attested not anchored not stored refs pending

Inverting the cut-tree transform

Christina Goldschmidt, Daphn\'e Dieuleveut, Louigi Addario-Berry

arxiv:1606.04825 v2 · 2016-06-15 · 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{JYLYGEOAHS2BT5DE4NEUS7MCYL}

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	2026-05-18T01:12:22.325094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e178311c03cb419f464e349497d82c2feb293052bc192cec92155ed3af919bf

Aliases

arxiv: 1606.04825 · arxiv_version: 1606.04825v2 · doi: 10.48550/arxiv.1606.04825 · pith_short_12: JYLYGEOAHS2B · pith_short_16: JYLYGEOAHS2BT5DE · pith_short_8: JYLYGEOA

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/JYLYGEOAHS2BT5DE4NEUS7MCYL \
  | 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: 4e178311c03cb419f464e349497d82c2feb293052bc192cec92155ed3af919bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c5d32683cfa08d71435c13e2fbf775ad6fe8a2e38c42909069c653edb2ffc25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-15T15:50:26Z",
    "title_canon_sha256": "f56bb34881e82b7815c862ae1569496c61a9f5caaf580e40ceb5aabe0caf97c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04825",
    "kind": "arxiv",
    "version": 2
  }
}