Pith Number

pith:7BPP4GUE

pith:2008:7BPP4GUEVR6ZWGEN3BAMX5D7M2

not attested not anchored not stored refs pending

Fold maps, framed immersions and smooth structures

Rustam Sadykov

arxiv:0803.3780 v2 · 2008-03-26 · math.GT · 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{7BPP4GUEVR6ZWGEN3BAMX5D7M2}

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	2026-05-18T04:01:00.325128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f85efe1a84ac7d9b188dd840cbf47f66aa30d86ae752a1c407c0aa931138ef7b

Aliases

arxiv: 0803.3780 · arxiv_version: 0803.3780v2 · doi: 10.48550/arxiv.0803.3780 · pith_short_12: 7BPP4GUEVR6Z · pith_short_16: 7BPP4GUEVR6ZWGEN · pith_short_8: 7BPP4GUE

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/7BPP4GUEVR6ZWGEN3BAMX5D7M2 \
  | 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: f85efe1a84ac7d9b188dd840cbf47f66aa30d86ae752a1c407c0aa931138ef7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b4dae54eddfaac7782b6aa638c976b9a1d8bf8775383c5428e200f0b5651d1d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-03-26T17:40:21Z",
    "title_canon_sha256": "b354bf7729a44594ea85e8dd6524cd048c08974c8ee3ca417c4c6423312149a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3780",
    "kind": "arxiv",
    "version": 2
  }
}