Pith Number

pith:6FESPTUB

pith:2009:6FESPTUBRO3JJTEVF5QBR3Q7BD

not attested not anchored not stored refs pending

The diffeotopy group of S^1 \times S^2 via contact topology

Fan Ding, Hansj\"org Geiges

arxiv:0903.1488 v2 · 2009-03-09 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6FESPTUBRO3JJTEVF5QBR3Q7BD}

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	2026-05-17T23:53:37.153789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f14927ce818bb694cc952f6018ee1f08fbff344728c6d0989742bc8fec76dda9

Aliases

arxiv: 0903.1488 · arxiv_version: 0903.1488v2 · doi: 10.48550/arxiv.0903.1488 · pith_short_12: 6FESPTUBRO3J · pith_short_16: 6FESPTUBRO3JJTEV · pith_short_8: 6FESPTUB

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/6FESPTUBRO3JJTEVF5QBR3Q7BD \
  | 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: f14927ce818bb694cc952f6018ee1f08fbff344728c6d0989742bc8fec76dda9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f030cc95a48a376f5aacbb1c63f1566b5e448f7ad61ac02154a31abf995c9035",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-03-09T07:13:57Z",
    "title_canon_sha256": "77295f4a15c5ededa578c6bdd044863a25aad02a79bd10a19154147e749b8297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1488",
    "kind": "arxiv",
    "version": 2
  }
}