Pith Number

pith:NREUT7TY

pith:2015:NREUT7TY7PJAPHMWQE2IJA6SNC

not attested not anchored not stored refs pending

New examples of Brunnian theta graphs

Alexander Zupan, Anna Kronaeur, Byoungwook Jang, Daniel Medici, Pratap Luitel, Scott A. Taylor

arxiv:1508.03014 v2 · 2015-08-12 · 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{NREUT7TY7PJAPHMWQE2IJA6SNC}

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	2026-05-18T01:07:17.402525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c4949fe78fbd2079d9681348483d2688e15f3bc9175438a55ac61cb5594001a

Aliases

arxiv: 1508.03014 · arxiv_version: 1508.03014v2 · doi: 10.48550/arxiv.1508.03014 · pith_short_12: NREUT7TY7PJA · pith_short_16: NREUT7TY7PJAPHMW · pith_short_8: NREUT7TY

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/NREUT7TY7PJAPHMWQE2IJA6SNC \
  | 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: 6c4949fe78fbd2079d9681348483d2688e15f3bc9175438a55ac61cb5594001a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11ef4b5850db62df6c243bdab10755323eb92a1f4f53b10ddfd2e88de76314bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-12T18:02:31Z",
    "title_canon_sha256": "6c52bf3f5f84127ab1f4469a67a4c53b9bec3775c0b75a51c4b1c328aa1692c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03014",
    "kind": "arxiv",
    "version": 2
  }
}