Pith Number

pith:QXSSPY3A

pith:2011:QXSSPY3ANQ3GDLQXKY47TFB4MB

not attested not anchored not stored refs pending

Normal Tori in $\sharp_n (S^2\times S^1)$

Funda G\"ultepe

arxiv:1112.3693 v2 · 2011-12-16 · 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{QXSSPY3ANQ3GDLQXKY47TFB4MB}

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	2026-05-18T03:53:54.541407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e527e3606c3661ae175639f9943c6071446c8bca61f00ea757310022f777f7

Aliases

arxiv: 1112.3693 · arxiv_version: 1112.3693v2 · doi: 10.48550/arxiv.1112.3693 · pith_short_12: QXSSPY3ANQ3G · pith_short_16: QXSSPY3ANQ3GDLQX · pith_short_8: QXSSPY3A

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/QXSSPY3ANQ3GDLQXKY47TFB4MB \
  | 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: 85e527e3606c3661ae175639f9943c6071446c8bca61f00ea757310022f777f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1793c91b05ca65845bc3743ab74b049a721f7a90c9b003e0dc8a4247f298fef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-12-16T00:32:47Z",
    "title_canon_sha256": "7171c6a243fde34f5da2ebf7112a75d133ffbeb09a18b1f2d856238ffdf0e66e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3693",
    "kind": "arxiv",
    "version": 2
  }
}