Pith Number

pith:YIIYFKIZ

pith:2005:YIIYFKIZKLUSHB27JVQGN3EEFS

not attested not anchored not stored refs pending

Realizing homology classes by symplectic submanifolds

Hong-Van Le

arxiv:math/0505562 v3 · 2005-05-26 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIIYFKIZKLUSHB27JVQGN3EEFS}

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	2026-05-18T02:47:41.640220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c21182a91952e923875f4d6066ec842c94d313926fb984a1bdd350e32665e966

Aliases

arxiv: math/0505562 · arxiv_version: math/0505562v3 · doi: 10.48550/arxiv.math/0505562 · pith_short_12: YIIYFKIZKLUS · pith_short_16: YIIYFKIZKLUSHB27 · pith_short_8: YIIYFKIZ

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/YIIYFKIZKLUSHB27JVQGN3EEFS \
  | 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: c21182a91952e923875f4d6066ec842c94d313926fb984a1bdd350e32665e966

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d77a406b8f611e13db7718df2a4528d4ed7bf063a4731199fca59cf3eba588ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2005-05-26T09:02:26Z",
    "title_canon_sha256": "e7bf1e777f4dcf84c368a617e936f801ae5ab39bb9c1f40bb73ef6855a35478c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505562",
    "kind": "arxiv",
    "version": 3
  }
}