Pith Number

pith:PMIA6OL5

pith:2008:PMIA6OL5TTEMJVMS6J2BJKIEXJ

not attested not anchored not stored refs pending

Two applications of twisted Floer homology

Yinghua Ai, Yi Ni

arxiv:0809.0622 v1 · 2008-09-03 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMIA6OL5TTEMJVMS6J2BJKIEXJ}

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	2026-05-18T04:39:19.689040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b100f397d9cc8c4d592f27414a904ba73e3545d50c2243fc05cf56488a01594

Aliases

arxiv: 0809.0622 · arxiv_version: 0809.0622v1 · doi: 10.48550/arxiv.0809.0622 · pith_short_12: PMIA6OL5TTEM · pith_short_16: PMIA6OL5TTEMJVMS · pith_short_8: PMIA6OL5

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/PMIA6OL5TTEMJVMS6J2BJKIEXJ \
  | 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: 7b100f397d9cc8c4d592f27414a904ba73e3545d50c2243fc05cf56488a01594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4944c69a583376b202680f272b2bbb8bf3177060c6e666b9d82839a37b42095",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-09-03T13:31:33Z",
    "title_canon_sha256": "a11df0a415f941de7789183aa6fdd217ce1a6516adb07029624b70ca65eb8e51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0622",
    "kind": "arxiv",
    "version": 1
  }
}