Pith Number

pith:EQJ4Y3XO

pith:2026:EQJ4Y3XOW3V55FRB77H2U6PW2R

not attested not anchored not stored refs pending

Learning Tangent Bundles and Characteristic Classes with Autoencoder Atlases

Eduardo Paluzo-Hidalgo, Yuichi Ike

arxiv:2602.22873 v2 · 2026-02-26 · math.AT · cs.AI · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQJ4Y3XOW3V55FRB77H2U6PW2R}

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	2026-05-28T01:04:37.432876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2413cc6eeeb6ebde9621ffcfaa79f6d46185df913ad7126b3aa5eec09c9a7712

Aliases

arxiv: 2602.22873 · arxiv_version: 2602.22873v2 · doi: 10.48550/arxiv.2602.22873 · pith_short_12: EQJ4Y3XOW3V5 · pith_short_16: EQJ4Y3XOW3V55FRB · pith_short_8: EQJ4Y3XO

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/EQJ4Y3XOW3V55FRB77H2U6PW2R \
  | 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: 2413cc6eeeb6ebde9621ffcfaa79f6d46185df913ad7126b3aa5eec09c9a7712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "430ceb68036e771c35b0b80f65a24d9b52de8a69f299426e6ac9b120af960a74",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-02-26T11:10:35Z",
    "title_canon_sha256": "7d310f0008c50e5f5254a10bae84a02b6885d697efcf08c6324f2833e1724b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.22873",
    "kind": "arxiv",
    "version": 2
  }
}