Pith Number

pith:HNTCIFJK

pith:2026:HNTCIFJKXPPP5RDZD5BFA34QZC

not attested not anchored not stored refs pending

Branching spaces of transverse sets

Philippe Gaucher

arxiv:2606.20409 v1 · 2026-06-18 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNTCIFJKXPPP5RDZD5BFA34QZC}

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	2026-06-19T16:13:11.792394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b6624152abbdefec4791f42506f90c88290256a64cc130a95acb6f56dfe436f

Aliases

arxiv: 2606.20409 · arxiv_version: 2606.20409v1 · doi: 10.48550/arxiv.2606.20409 · pith_short_12: HNTCIFJKXPPP · pith_short_16: HNTCIFJKXPPP5RDZ · pith_short_8: HNTCIFJK

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/HNTCIFJKXPPP5RDZD5BFA34QZC \
  | 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: 3b6624152abbdefec4791f42506f90c88290256a64cc130a95acb6f56dfe436f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7abee587469e8e8172fc941dff7108c4e63808f5554f6b0d95e86ab951b0089",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-06-18T15:58:05Z",
    "title_canon_sha256": "5c024408296428081e057360336c79abd569a7cdda5c5d5fc62f5c30ae429030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20409",
    "kind": "arxiv",
    "version": 1
  }
}