Pith Number

pith:2MIL4EGS

pith:2015:2MIL4EGS3Q7LC5YUTFJ6QHZY2T

not attested not anchored not stored refs pending

A slicing obstruction from the 10/8 theorem

Andrew Donald, Faramarz Vafaee

arxiv:1508.07047 v2 · 2015-08-27 · 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{2MIL4EGS3Q7LC5YUTFJ6QHZY2T}

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	2026-05-18T00:26:09.024472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d310be10d2dc3eb177149953e81f38d4c2a7a774770b5fe7f97fdbe035963c78

Aliases

arxiv: 1508.07047 · arxiv_version: 1508.07047v2 · doi: 10.48550/arxiv.1508.07047 · pith_short_12: 2MIL4EGS3Q7L · pith_short_16: 2MIL4EGS3Q7LC5YU · pith_short_8: 2MIL4EGS

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/2MIL4EGS3Q7LC5YUTFJ6QHZY2T \
  | 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: d310be10d2dc3eb177149953e81f38d4c2a7a774770b5fe7f97fdbe035963c78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30d5537747a79e7e46e37239dab34e3c3dc50b29ba2ede69317530782fe2b832",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-27T22:24:31Z",
    "title_canon_sha256": "a40751edde4bbccfe19a0f420233578132c750e67af3e4eb6fc4c4e2ed73686f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07047",
    "kind": "arxiv",
    "version": 2
  }
}