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Pith Number

pith:MWCQ54ID

pith:2015:MWCQ54IDTGZO6KIUHKKP7EJJNU
not attested not anchored not stored refs pending

Independence of Roseman moves including triple points

Kanako Oshiro, Kengo Kawamura, Kokoro Tanaka

arxiv:1511.03160 v1 · 2015-11-10 · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MWCQ54IDTGZO6KIUHKKP7EJJNU}

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 2026-05-18T01:04:14.269758Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

65850ef10399b2ef29143a94ff91296d335497ff183b80d2d008fa51a1ecdc4d

Aliases

arxiv: 1511.03160 · arxiv_version: 1511.03160v1 · doi: 10.48550/arxiv.1511.03160 · pith_short_12: MWCQ54IDTGZO · pith_short_16: MWCQ54IDTGZO6KIU · pith_short_8: MWCQ54ID
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MWCQ54IDTGZO6KIUHKKP7EJJNU \
  | 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: 65850ef10399b2ef29143a94ff91296d335497ff183b80d2d008fa51a1ecdc4d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e8abe1c0e0d46bfa2c2b031631c8ca02c60833800b3733dc055d47a712fbc256",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-11-10T16:01:38Z",
    "title_canon_sha256": "44cf427a2efca523993984a5d5293b647f246f2e50ba42a1d6e583a1cf7933d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03160",
    "kind": "arxiv",
    "version": 1
  }
}