Pith Number

pith:VQEZH3ZB

pith:2014:VQEZH3ZB3KLLZKN3FGHYFFUM2Y

not attested not anchored not stored refs pending

Linearly embedded graphs in 3-space with homotopically free exteriors

Jung Hoon Lee, Youngsik Huh

arxiv:1409.6796 v1 · 2014-09-24 · 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{VQEZH3ZB3KLLZKN3FGHYFFUM2Y}

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	2026-05-18T02:42:00.403395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac0993ef21da96bca9bb298f82968cd638ad9ca22e396e87f320f0c44634ea45

Aliases

arxiv: 1409.6796 · arxiv_version: 1409.6796v1 · doi: 10.48550/arxiv.1409.6796 · pith_short_12: VQEZH3ZB3KLL · pith_short_16: VQEZH3ZB3KLLZKN3 · pith_short_8: VQEZH3ZB

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/VQEZH3ZB3KLLZKN3FGHYFFUM2Y \
  | 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: ac0993ef21da96bca9bb298f82968cd638ad9ca22e396e87f320f0c44634ea45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "780102a5521d04e00e674977e098770b226274d5793a790633921b3de7bc086d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-24T02:17:00Z",
    "title_canon_sha256": "4f36b7e1161ec4781badd8ca2a74565612b03eeafb2b7bf5745e0176c852a1f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6796",
    "kind": "arxiv",
    "version": 1
  }
}