Pith Number

pith:VX4AEDFI

pith:2026:VX4AEDFIV4F6MGE2FHMYUZ6ERV

not attested not anchored not stored refs pending

Affine transverse foliations in sphere bundles

Gaiane Panina, Ilya Alekseev, Ivan Nasonov

arxiv:2603.01079 v2 · 2026-03-01 · 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{VX4AEDFIV4F6MGE2FHMYUZ6ERV}

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	2026-05-29T01:05:06.141775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf8020ca8af0be6189a29d98a67c48d7425790a4837dbcc5b2371cf7699c90f

Aliases

arxiv: 2603.01079 · arxiv_version: 2603.01079v2 · doi: 10.48550/arxiv.2603.01079 · pith_short_12: VX4AEDFIV4F6 · pith_short_16: VX4AEDFIV4F6MGE2 · pith_short_8: VX4AEDFI

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/VX4AEDFIV4F6MGE2FHMYUZ6ERV \
  | 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: adf8020ca8af0be6189a29d98a67c48d7425790a4837dbcc5b2371cf7699c90f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b92cecfdf8a22f00df206c0d6e8c1dffaff30ad8943bc2b20c22d452de37a95f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-03-01T12:53:04Z",
    "title_canon_sha256": "6f8601ee96059fb98330424d2bd621c3c9f2c97b2a20e21c95ca0d1a4d47e442"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.01079",
    "kind": "arxiv",
    "version": 2
  }
}