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Pith Number

pith:G2VFHH5S

pith:2015:G2VFHH5SEAE76J6H5R5Q2GCHZY
not attested not anchored not stored refs pending

Boundary concentrations on segments

Hardy Chan, Juncheng Wei, Weiwei Ao

arxiv:1506.00134 v1 · 2015-05-30 · math.AP · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{G2VFHH5SEAE76J6H5R5Q2GCHZY}

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 2026-05-18T01:59:55.383018Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

36aa539fb22009ff27c7ec7b0d1847ce3e4d68dc494636f1ea2eabbf5fa6c822

Aliases

arxiv: 1506.00134 · arxiv_version: 1506.00134v1 · doi: 10.48550/arxiv.1506.00134 · pith_short_12: G2VFHH5SEAE7 · pith_short_16: G2VFHH5SEAE76J6H · pith_short_8: G2VFHH5S
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/G2VFHH5SEAE76J6H5R5Q2GCHZY \
  | 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: 36aa539fb22009ff27c7ec7b0d1847ce3e4d68dc494636f1ea2eabbf5fa6c822
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ab593e4bd8fafb8b0812b1538a673bc8b37d77f67666178bebb99a06c2999a3d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-30T15:54:48Z",
    "title_canon_sha256": "6c66146aa4ffba9c41bba67bd134cbb42c3657b2db7c251c1d6ae46ba283ad68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00134",
    "kind": "arxiv",
    "version": 1
  }
}