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Pith Number

pith:KTGKEFPY

pith:2015:KTGKEFPYN76VPIWHLX3OKZA2US
not attested not anchored not stored refs pending

Link diagrams with low Turaev genus

Seungwon Kim

arxiv:1507.02918 v2 · 2015-07-10 · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KTGKEFPYN76VPIWHLX3OKZA2US}

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 2026-05-18T01:25:46.869638Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

54cca215f86ffd57a2c75df6e5641aa487b3793d076a9d667df3115cb03910da

Aliases

arxiv: 1507.02918 · arxiv_version: 1507.02918v2 · doi: 10.48550/arxiv.1507.02918 · pith_short_12: KTGKEFPYN76V · pith_short_16: KTGKEFPYN76VPIWH · pith_short_8: KTGKEFPY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KTGKEFPYN76VPIWHLX3OKZA2US \
  | 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: 54cca215f86ffd57a2c75df6e5641aa487b3793d076a9d667df3115cb03910da
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "306c46b46c7d5704543ab3305b838cd84081dc8c1fcdb73a3d3a763a78497e53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-10T14:30:27Z",
    "title_canon_sha256": "3070e3e6ea216da092ee8eb678b4793a32baf7ae9b32315f7d1b935d17252cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02918",
    "kind": "arxiv",
    "version": 2
  }
}