Pith Number

pith:JCGOGRHG

pith:2015:JCGOGRHGGOSP5VS2T24HYT6QRW

not attested not anchored not stored refs pending

W-surfaces having some properties

Stylianos Stamatakis

arxiv:1511.07851 v1 · 2015-11-24 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCGOGRHGGOSP5VS2T24HYT6QRW}

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	2026-05-18T01:26:03.444492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

488ce344e633a4fed65a9eb87c4fd08d87cba3263c48eacf1e9484e3bc811ab0

Aliases

arxiv: 1511.07851 · arxiv_version: 1511.07851v1 · doi: 10.48550/arxiv.1511.07851 · pith_short_12: JCGOGRHGGOSP · pith_short_16: JCGOGRHGGOSP5VS2 · pith_short_8: JCGOGRHG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JCGOGRHGGOSP5VS2T24HYT6QRW \
  | 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: 488ce344e633a4fed65a9eb87c4fd08d87cba3263c48eacf1e9484e3bc811ab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "105858ee7c4a0c6136c0ebd0c59639fe292a2851627e2fa7b723c72ff8c8a5d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-24T20:04:50Z",
    "title_canon_sha256": "0b83b2088dd796d5d145bbb6e6aaa6a3f185eee0e6548df448f2852e413cc578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07851",
    "kind": "arxiv",
    "version": 1
  }
}