Pith Number

pith:KY76S7ZS

pith:2017:KY76S7ZSIW42ICKV4XBLD7MBYI

not attested not anchored not stored refs pending

Strong submeasures and several applications

Tuyen Trung Truong

arxiv:1712.02490 v4 · 2017-12-07 · math.DS · math.CV · 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{KY76S7ZSIW42ICKV4XBLD7MBYI}

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	2026-05-17T23:56:38.906885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

563fe97f3245b9a40955e5c2b1fd81c23340fc4815da03f0bd68e04268cef3c2

Aliases

arxiv: 1712.02490 · arxiv_version: 1712.02490v4 · doi: 10.48550/arxiv.1712.02490 · pith_short_12: KY76S7ZSIW42 · pith_short_16: KY76S7ZSIW42ICKV · pith_short_8: KY76S7ZS

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/KY76S7ZSIW42ICKV4XBLD7MBYI \
  | 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: 563fe97f3245b9a40955e5c2b1fd81c23340fc4815da03f0bd68e04268cef3c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4020d5ecca9a3e58612240c68db6821eae7518be448fcf96f54e794c6e6f0ead",
    "cross_cats_sorted": [
      "math.CV",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-07T04:56:09Z",
    "title_canon_sha256": "6cb5c9039d663dae1b00ae8b0f02d16afc1dc9b4280d824b682755ddc6a671a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02490",
    "kind": "arxiv",
    "version": 4
  }
}