Pith Number

pith:VGPYTUH7

pith:2017:VGPYTUH7LXL7HPFT3OEKJ2ZDCX

not attested not anchored not stored refs pending

Cobordisms of graphs. A sliceness criterion for stably odd knots and related results on cobordisms

Denis Fedoseev, Vassily Manturov

arxiv:1708.07365 v2 · 2017-08-24 · 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{VGPYTUH7LXL7HPFT3OEKJ2ZDCX}

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	2026-05-18T00:33:58.556745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99f89d0ff5dd7f3bcb3db88a4eb2315f9a13b7e393560619449a51cf1e96747

Aliases

arxiv: 1708.07365 · arxiv_version: 1708.07365v2 · doi: 10.48550/arxiv.1708.07365 · pith_short_12: VGPYTUH7LXL7 · pith_short_16: VGPYTUH7LXL7HPFT · pith_short_8: VGPYTUH7

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/VGPYTUH7LXL7HPFT3OEKJ2ZDCX \
  | 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: a99f89d0ff5dd7f3bcb3db88a4eb2315f9a13b7e393560619449a51cf1e96747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3162e3e8b807b5d50d9fd92908603cc5ba553f4a8819b93b616ff132dc824fb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-08-24T11:58:14Z",
    "title_canon_sha256": "f2ed2951f97ab7e664ad6406656d4427d271c35a4ec176d9737b9e73424ecd3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07365",
    "kind": "arxiv",
    "version": 2
  }
}