Pith Number

pith:QAVXRRAB

pith:2015:QAVXRRABY3OQJ7BBNH2NKQCW5D

not attested not anchored not stored refs pending

On Hypoelliptic Bridge

Xue-Mei Li

arxiv:1510.06730 v2 · 2015-10-22 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QAVXRRABY3OQJ7BBNH2NKQCW5D}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:15:32.325901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

802b78c401c6dd04fc2169f4d54056e8c66150be07341d632b6118a0ee99617c

Aliases

arxiv: 1510.06730 · arxiv_version: 1510.06730v2 · doi: 10.48550/arxiv.1510.06730 · pith_short_12: QAVXRRABY3OQ · pith_short_16: QAVXRRABY3OQJ7BB · pith_short_8: QAVXRRAB

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/QAVXRRABY3OQJ7BBNH2NKQCW5D \
  | 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: 802b78c401c6dd04fc2169f4d54056e8c66150be07341d632b6118a0ee99617c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c5ec074b87f6184f2660e5c62bd9196ff13323e7d894a39f19a970862aba1d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-22T19:44:31Z",
    "title_canon_sha256": "fb68a567d501cbd3432fd28302e34ae132366f50902fa51ded3d01c7ea05b9e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06730",
    "kind": "arxiv",
    "version": 2
  }
}