pith. sign in
Pith Number

pith:5JEMUPOO

pith:2020:5JEMUPOO3WDYZCZUS457MPUV6I
not attested not anchored not stored refs pending

On contact type hypersurfaces in 4-space

B\"ulent Tosun, Thomas E. Mark

arxiv:2008.02755 v3 · 2020-08-06 · math.GT · math.CV · math.SG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5JEMUPOO3WDYZCZUS457MPUV6I}

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 2026-05-18T02:44:40.013672Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ea48ca3dcedd878c8b34973bf63e95f21e2f4a2c65af94146349fb80bf93ab3e

Aliases

arxiv: 2008.02755 · arxiv_version: 2008.02755v3 · doi: 10.48550/arxiv.2008.02755 · pith_short_12: 5JEMUPOO3WDY · pith_short_16: 5JEMUPOO3WDYZCZU · pith_short_8: 5JEMUPOO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5JEMUPOO3WDYZCZUS457MPUV6I \
  | 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: ea48ca3dcedd878c8b34973bf63e95f21e2f4a2c65af94146349fb80bf93ab3e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cd9a0ef538b6a9b12b388effe6bd8a703d21ad9d4d1363cbf6897a07dc620ad9",
    "cross_cats_sorted": [
      "math.CV",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-08-06T16:43:35Z",
    "title_canon_sha256": "d3c48c268a3f6de1644d590c5ca2aa646111219433380f3689829a9e37cffe45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.02755",
    "kind": "arxiv",
    "version": 3
  }
}