Pith Number

pith:XQ42LHQO

pith:2016:XQ42LHQOY6V2FTCEQB6OXCUT6T

not attested not anchored not stored refs pending

Douglas metrics of (\alpha,\beta) type

Changtao Yu

arxiv:1609.04109 v1 · 2016-09-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQ42LHQOY6V2FTCEQB6OXCUT6T}

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	2026-05-18T01:04:38.969671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc39a59e0ec7aba2cc44807ceb8a93f4fe494cf3b227848726f91af07075faf1

Aliases

arxiv: 1609.04109 · arxiv_version: 1609.04109v1 · doi: 10.48550/arxiv.1609.04109 · pith_short_12: XQ42LHQOY6V2 · pith_short_16: XQ42LHQOY6V2FTCE · pith_short_8: XQ42LHQO

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/XQ42LHQOY6V2FTCEQB6OXCUT6T \
  | 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: bc39a59e0ec7aba2cc44807ceb8a93f4fe494cf3b227848726f91af07075faf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d8dd4bb4ff8ea8457aaea633db81f2a23a7d979dabbe6abb83b23177b5effc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-14T01:56:57Z",
    "title_canon_sha256": "95445d2a35af44712a0f913404b00c8defd044c615f830ec85a3d20e3770c433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04109",
    "kind": "arxiv",
    "version": 1
  }
}