Pith Number

pith:HTWVNZMR

pith:2012:HTWVNZMRR3QHMFENV3VQ4MQHDW

not attested not anchored not stored refs pending

Univalence criteria and analogs of the John constant

Toshiyuki Sugawa, Yong Chan Kim

arxiv:1209.5167 v2 · 2012-09-24 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTWVNZMRR3QHMFENV3VQ4MQHDW}

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	2026-05-18T03:42:33.553738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ced56e5918ee076148daeeb0e32071da0c93e39f8781dfb34bce33b8f1dd6ce

Aliases

arxiv: 1209.5167 · arxiv_version: 1209.5167v2 · doi: 10.48550/arxiv.1209.5167 · pith_short_12: HTWVNZMRR3QH · pith_short_16: HTWVNZMRR3QHMFEN · pith_short_8: HTWVNZMR

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/HTWVNZMRR3QHMFENV3VQ4MQHDW \
  | 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: 3ced56e5918ee076148daeeb0e32071da0c93e39f8781dfb34bce33b8f1dd6ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e13521a3c210a7ed63b23b724f415bd9b0b402c2bc67cf319e2cae09b80454e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-09-24T07:04:59Z",
    "title_canon_sha256": "e8aa61d20f560e314d0702ed480a77f9d851e22b6b8dcba64e011a17f09e4b4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5167",
    "kind": "arxiv",
    "version": 2
  }
}