pith. sign in
Pith Number

pith:AFXGNL2Z

pith:2017:AFXGNL2ZBB4P37IZ2UKLOR5ZCN
not attested not anchored not stored refs pending

Contragenic Functions on Spheroidal Domains

J. Morais, R. Garc\'ia Ancona, R. Michael Porter

arxiv:1708.06603 v1 · 2017-08-08 · math.CA · math.CV

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AFXGNL2ZBB4P37IZ2UKLOR5ZCN}

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 2026-05-18T00:16:31.568495Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

016e66af590878fdfd19d514b747b91362c8b21c31e39d452ed83b99cef324be

Aliases

arxiv: 1708.06603 · arxiv_version: 1708.06603v1 · doi: 10.48550/arxiv.1708.06603 · pith_short_12: AFXGNL2ZBB4P · pith_short_16: AFXGNL2ZBB4P37IZ · pith_short_8: AFXGNL2Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AFXGNL2ZBB4P37IZ2UKLOR5ZCN \
  | 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: 016e66af590878fdfd19d514b747b91362c8b21c31e39d452ed83b99cef324be
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "83a147f189235c08b5d54e070079c75ec1d13eecb62f6c9cb2bdbff6ca9773c9",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-08T06:11:56Z",
    "title_canon_sha256": "b797d7bc10f1db00de5ff6f7d676ba10abc9f95910e7ffa02d4a2aa3b252aa40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06603",
    "kind": "arxiv",
    "version": 1
  }
}