Pith Number

pith:BGDJP42M

pith:2025:BGDJP42MMSW7SVTBYWSGCJ42LU

not attested not anchored not stored refs pending

Intersection homotopy, refinements and coarsenings

Daniel Tanr\'e, Martintxo Saralegi-Aranguren

arxiv:2508.03224 v2 · 2025-08-05 · math.AT · 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{BGDJP42MMSW7SVTBYWSGCJ42LU}

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	2026-05-18T02:44:33.441433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

098697f34c64adf95661c5a461279a5d37b1c2df9ffdc6074ff0fed52f8210ea

Aliases

arxiv: 2508.03224 · arxiv_version: 2508.03224v2 · doi: 10.48550/arxiv.2508.03224 · pith_short_12: BGDJP42MMSW7 · pith_short_16: BGDJP42MMSW7SVTB · pith_short_8: BGDJP42M

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/BGDJP42MMSW7SVTBYWSGCJ42LU \
  | 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: 098697f34c64adf95661c5a461279a5d37b1c2df9ffdc6074ff0fed52f8210ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fce8e4df3cdc1a533aa5cf898a6aafe3e883d892330c21e355c89103662f580",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-08-05T08:50:27Z",
    "title_canon_sha256": "1ebc4698850d945e415b0ef93608e51e71b1fa2294b7432c48507260c45ad1f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.03224",
    "kind": "arxiv",
    "version": 2
  }
}