Pith Number

pith:XFLU6KUH

pith:2010:XFLU6KUHC6MKAFSOTGEZW4LSBM

not attested not anchored not stored refs pending

Orientable closed 3-manifolds with surface-complexity one

Gennaro Amendola

arxiv:1011.4196 v2 · 2010-11-18 · 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{XFLU6KUHC6MKAFSOTGEZW4LSBM}

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	2026-05-17T23:55:23.548970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9574f2a871798a0164e99899b71720b3f875b13b3abe4cb78ed7fe3dea2b5d9

Aliases

arxiv: 1011.4196 · arxiv_version: 1011.4196v2 · doi: 10.48550/arxiv.1011.4196 · pith_short_12: XFLU6KUHC6MK · pith_short_16: XFLU6KUHC6MKAFSO · pith_short_8: XFLU6KUH

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/XFLU6KUHC6MKAFSOTGEZW4LSBM \
  | 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: b9574f2a871798a0164e99899b71720b3f875b13b3abe4cb78ed7fe3dea2b5d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6330390b3353151354a99599aa25802a9613572e6f6e247db87d2eba79e0ce70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-18T14:21:15Z",
    "title_canon_sha256": "aaed09bdfac535360c168380460ca8bc0b980fd3be81d52118458c96af254ec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4196",
    "kind": "arxiv",
    "version": 2
  }
}