Pith Number

pith:V7ONM2NW

pith:2017:V7ONM2NWAPOGIWCZJ2ZJDQWBAP

not attested not anchored not stored refs pending

Isotopy of surfaces in 4-manifolds after a single stabilization

Daniel Ruberman, Dave Auckly, Hannah Schwartz, Hee Jung Kim, Paul Melvin

arxiv:1708.03208 v1 · 2017-08-10 · 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{V7ONM2NWAPOGIWCZJ2ZJDQWBAP}

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	2026-05-18T00:38:14.481882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afdcd669b603dc6458594eb291c2c103d0907e257454f0453dafd82183025252

Aliases

arxiv: 1708.03208 · arxiv_version: 1708.03208v1 · doi: 10.48550/arxiv.1708.03208 · pith_short_12: V7ONM2NWAPOG · pith_short_16: V7ONM2NWAPOGIWCZ · pith_short_8: V7ONM2NW

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/V7ONM2NWAPOGIWCZJ2ZJDQWBAP \
  | 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: afdcd669b603dc6458594eb291c2c103d0907e257454f0453dafd82183025252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ef6d2ec972a3b4cfa42876ca0964cd57cd75f9b0f0bb2e8d6fec86a1c6d2122",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-08-10T13:35:55Z",
    "title_canon_sha256": "8c57d281e6e6bf60180b83fb3ada2fe30ee4f6a52fbc8c89651696bc6a798f69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03208",
    "kind": "arxiv",
    "version": 1
  }
}