Pith Number

pith:ZITUGW25

pith:2017:ZITUGW25MQD46GVA7TJO3Y5OWM

not attested not anchored not stored refs pending

Excellent extensions and homological conjectures

Yingying Zhang

arxiv:1702.05902 v3 · 2017-02-20 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZITUGW25MQD46GVA7TJO3Y5OWM}

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	2026-05-18T00:27:09.658531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca27435b5d6407cf1aa0fcd2ede3aeb31451445a1ec63736f4136c666de2b0ac

Aliases

arxiv: 1702.05902 · arxiv_version: 1702.05902v3 · doi: 10.48550/arxiv.1702.05902 · pith_short_12: ZITUGW25MQD4 · pith_short_16: ZITUGW25MQD46GVA · pith_short_8: ZITUGW25

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/ZITUGW25MQD46GVA7TJO3Y5OWM \
  | 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: ca27435b5d6407cf1aa0fcd2ede3aeb31451445a1ec63736f4136c666de2b0ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0342353d5aac5adb493815e861c43a4d05e35708efed0d6515b3ac234a61bf9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-02-20T09:01:20Z",
    "title_canon_sha256": "b0bb07819c12eae62180bb3620e870e721d229b4b6655d5db8de17061eb074af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05902",
    "kind": "arxiv",
    "version": 3
  }
}