Pith Number

pith:3LIEUR5Z

pith:2018:3LIEUR5ZMX2MLTCMGIR3ZGGFGC

not attested not anchored not stored refs pending

Generalized virtualization on welded links

Akira Yasuhara, Haruko A. Miyazawa, Kodai Wada

arxiv:1804.09939 v2 · 2018-04-26 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LIEUR5ZMX2MLTCMGIR3ZGGFGC}

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	2026-05-17T23:52:27.428586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dad04a47b965f4c5cc4c3223bc98c530b07082870e0b60e302a2be8bd1d9ab0b

Aliases

arxiv: 1804.09939 · arxiv_version: 1804.09939v2 · doi: 10.48550/arxiv.1804.09939 · pith_short_12: 3LIEUR5ZMX2M · pith_short_16: 3LIEUR5ZMX2MLTCM · pith_short_8: 3LIEUR5Z

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/3LIEUR5ZMX2MLTCMGIR3ZGGFGC \
  | 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: dad04a47b965f4c5cc4c3223bc98c530b07082870e0b60e302a2be8bd1d9ab0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b6766fd162ccb65f35c1ed72eb1b7da007a0240b040336f06e9550a89103c45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-04-26T08:44:27Z",
    "title_canon_sha256": "f06d188dbbee31172e47a939eef113832b7fe122dc51d30791927d5a0b04da44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09939",
    "kind": "arxiv",
    "version": 2
  }
}