Pith Number

pith:T7L2UQ6P

pith:2015:T7L2UQ6PBCXGGCNCOMIOKL2N3Y

not attested not anchored not stored refs pending

Smoothly embedded rational homology balls

Dongsoo Shin, Heesang Park, Jongil Park

arxiv:1508.03724 v1 · 2015-08-15 · math.GT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7L2UQ6PBCXGGCNCOMIOKL2N3Y}

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	2026-05-18T01:35:15.350652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fd7aa43cf08ae6309a27310e52f4dde3b7385fdf666b37e49aee504f5c62591

Aliases

arxiv: 1508.03724 · arxiv_version: 1508.03724v1 · doi: 10.48550/arxiv.1508.03724 · pith_short_12: T7L2UQ6PBCXG · pith_short_16: T7L2UQ6PBCXGGCNC · pith_short_8: T7L2UQ6P

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/T7L2UQ6PBCXGGCNCOMIOKL2N3Y \
  | 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: 9fd7aa43cf08ae6309a27310e52f4dde3b7385fdf666b37e49aee504f5c62591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57c2e98c1f2d113ad2cc344d0b72448b1ac6becf82b1a61fe3b89013f482a653",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-15T11:50:59Z",
    "title_canon_sha256": "4a0f442d2b8321d8d3b63d549604a08acb2f59229c2438b048b08f644335f5d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03724",
    "kind": "arxiv",
    "version": 1
  }
}