Pith Number

pith:WPKXUFVX

pith:2014:WPKXUFVXKGHYHSRVKEPNOT3HA3

not attested not anchored not stored refs pending

Geometric structures, Gromov norm and Kodaira dimensions

Weiyi Zhang

arxiv:1404.4231 v3 · 2014-04-16 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPKXUFVXKGHYHSRVKEPNOT3HA3}

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	2026-05-18T02:52:25.111222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d57a16b7518f83ca35511ed74f6706f8ef87ddeea0971e2e30c72e49e8e5d0

Aliases

arxiv: 1404.4231 · arxiv_version: 1404.4231v3 · doi: 10.48550/arxiv.1404.4231 · pith_short_12: WPKXUFVXKGHY · pith_short_16: WPKXUFVXKGHYHSRV · pith_short_8: WPKXUFVX

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/WPKXUFVXKGHYHSRVKEPNOT3HA3 \
  | 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: b3d57a16b7518f83ca35511ed74f6706f8ef87ddeea0971e2e30c72e49e8e5d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74a11acf2efe611489461978041a61652701643e9e7dd7195be18252533ff06a",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-04-16T13:07:54Z",
    "title_canon_sha256": "eca28632fc8af4e421938d9242a0f30c94f51be1c4762728655b63af6e48ebf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4231",
    "kind": "arxiv",
    "version": 3
  }
}