Pith Number

pith:TBEFE3KQ

pith:2021:TBEFE3KQGEOYYPOGFXO6SQSXW4

not attested not anchored not stored refs pending

Stable maps and hyperbolic links

Ryoga Furutani, Yuya Koda

arxiv:2103.00894 v3 · 2021-03-01 · 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{TBEFE3KQGEOYYPOGFXO6SQSXW4}

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	2026-07-05T02:44:36.048025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9848526d50311d8c3dc62ddde94257b706519c1d724b843e39c8248fb3b38729

Aliases

arxiv: 2103.00894 · arxiv_version: 2103.00894v3 · doi: 10.48550/arxiv.2103.00894 · pith_short_12: TBEFE3KQGEOY · pith_short_16: TBEFE3KQGEOYYPOG · pith_short_8: TBEFE3KQ

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/TBEFE3KQGEOYYPOGFXO6SQSXW4 \
  | 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: 9848526d50311d8c3dc62ddde94257b706519c1d724b843e39c8248fb3b38729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9efe6a0f278f31e9b2d7bd8f2666a2f69e6daa83294f381e2d27b15e5dc47359",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-03-01T10:38:47Z",
    "title_canon_sha256": "fb819e7cbc69da8a75f3a6f6b690e4230e977844a04ac1d4156b621de877e6ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.00894",
    "kind": "arxiv",
    "version": 3
  }
}