Pith Number

pith:AQXN43IE

pith:2024:AQXN43IEIFSVZ44EMOEKEMJB5I

not attested not anchored not stored refs pending

Morse homology and equivariance

Erkao Bao, Tyler Lawson

arxiv:2409.04694 v2 · 2024-09-07 · math.GT · 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{AQXN43IEIFSVZ44EMOEKEMJB5I}

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	2026-07-05T10:08:20.730072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

042ede6d0441655cf3846388a23121ea2fa9346a9ce63d44ace39264b3ac90ae

Aliases

arxiv: 2409.04694 · arxiv_version: 2409.04694v2 · doi: 10.48550/arxiv.2409.04694 · pith_short_12: AQXN43IEIFSV · pith_short_16: AQXN43IEIFSVZ44E · pith_short_8: AQXN43IE

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/AQXN43IEIFSVZ44EMOEKEMJB5I \
  | 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: 042ede6d0441655cf3846388a23121ea2fa9346a9ce63d44ace39264b3ac90ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baeb98cce2d7aef5b348353a68ecb8c767fbcb89ad76907a5586dbb6fb14e24c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-09-07T03:35:04Z",
    "title_canon_sha256": "f3a5773e999099d8cbb11a44b197cc763424e324166aacd7ebd707a6d2fd5d90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.04694",
    "kind": "arxiv",
    "version": 2
  }
}