Pith Number

pith:FB5SXIM2

pith:2008:FB5SXIM2NHDUZMBLP7LWJTVFIJ

not attested not anchored not stored refs pending

Configuration space integrals for embedding spaces and the Haefliger invariant

Keiichi Sakai

arxiv:0811.3726 v4 · 2008-11-23 · 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{FB5SXIM2NHDUZMBLP7LWJTVFIJ}

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	2026-05-18T04:31:31.409096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

287b2ba19a69c74cb02b7fd764cea5427f7260588152c4420a256b3d263f70d0

Aliases

arxiv: 0811.3726 · arxiv_version: 0811.3726v4 · doi: 10.48550/arxiv.0811.3726 · pith_short_12: FB5SXIM2NHDU · pith_short_16: FB5SXIM2NHDUZMBL · pith_short_8: FB5SXIM2

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/FB5SXIM2NHDUZMBLP7LWJTVFIJ \
  | 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: 287b2ba19a69c74cb02b7fd764cea5427f7260588152c4420a256b3d263f70d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e07200760c521b60e26f819ee2f489c1d95587f3b9288b7554391075e808b07b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-11-23T05:07:23Z",
    "title_canon_sha256": "672bc7ade5cdd59d726c4ba3354ba244a19576c2a5af912a3f8fa342210c22a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3726",
    "kind": "arxiv",
    "version": 4
  }
}