Pith Number

pith:XDZQYGNB

pith:2026:XDZQYGNBMMQFENOUGHLYXI45U7

not attested not anchored not stored refs pending

Free maps in critical dimension on low-dimensional tori and closed surfaces

Roberto De Leo

arxiv:2605.24610 v1 · 2026-05-23 · math.GT · 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{XDZQYGNBMMQFENOUGHLYXI45U7}

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	2026-05-26T01:03:48.817189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f30c19a163205235d431d78ba39da7f4ddf2d0d107199754fe04b3f2f03034

Aliases

arxiv: 2605.24610 · arxiv_version: 2605.24610v1 · doi: 10.48550/arxiv.2605.24610 · pith_short_12: XDZQYGNBMMQF · pith_short_16: XDZQYGNBMMQFENOU · pith_short_8: XDZQYGNB

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/XDZQYGNBMMQFENOUGHLYXI45U7 \
  | 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: b8f30c19a163205235d431d78ba39da7f4ddf2d0d107199754fe04b3f2f03034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8df43faef69b6d7719dd1776b85eaab94525ca319733627cd672f07a8f687b5",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-23T14:46:02Z",
    "title_canon_sha256": "13a32d5194372d9b50fee3abf8cfd1ad0665aded2f6d5158e849e446ea99387b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24610",
    "kind": "arxiv",
    "version": 1
  }
}