Pith Number

pith:UCLTRLDF

pith:2007:UCLTRLDFLI5346PQTRDMUOHWKZ

not attested not anchored not stored refs pending

A Simple Proof for the Generalized Frankel Conjecture

Hui-Ling Gu

arxiv:0707.0035 v2 · 2007-06-30 · 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{UCLTRLDFLI5346PQTRDMUOHWKZ}

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	2026-05-18T04:09:15.903447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a09738ac655a3bbe79f09c46ca38f65660f8f12dab27b7abada396d5c713198c

Aliases

arxiv: 0707.0035 · arxiv_version: 0707.0035v2 · doi: 10.48550/arxiv.0707.0035 · pith_short_12: UCLTRLDFLI53 · pith_short_16: UCLTRLDFLI5346PQ · pith_short_8: UCLTRLDF

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/UCLTRLDFLI5346PQTRDMUOHWKZ \
  | 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: a09738ac655a3bbe79f09c46ca38f65660f8f12dab27b7abada396d5c713198c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abadddca50c634951a64ebd6d7a57335d16897f0a0e5ab70e5e3e28127308566",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-06-30T02:09:44Z",
    "title_canon_sha256": "0051624f5aa3cfbccabe13cc34879a865f1b161ea89f2c251022b2e84209f368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0035",
    "kind": "arxiv",
    "version": 2
  }
}