Pith Number

pith:XQNX5RKV

pith:2010:XQNX5RKVYDTF3WSASL627PEGVV

not attested not anchored not stored refs pending

Embedded and Lagrangian Knotted Tori in $\BR^4$ and Hypercube Homology

Scott Baldridge

arxiv:1010.3742 v1 · 2010-10-18 · 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{XQNX5RKVYDTF3WSASL627PEGVV}

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	2026-05-18T04:39:07.649359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc1b7ec555c0e65dda4092fdafbc86ad63b547cd30258c4a1916bf3982b628b1

Aliases

arxiv: 1010.3742 · arxiv_version: 1010.3742v1 · doi: 10.48550/arxiv.1010.3742 · pith_short_12: XQNX5RKVYDTF · pith_short_16: XQNX5RKVYDTF3WSA · pith_short_8: XQNX5RKV

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/XQNX5RKVYDTF3WSASL627PEGVV \
  | 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: bc1b7ec555c0e65dda4092fdafbc86ad63b547cd30258c4a1916bf3982b628b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d5ffbdf2dbf7a884baff9a579dffbf81577b5c4d2c5fa54d3b54646862df95f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-18T21:33:19Z",
    "title_canon_sha256": "0b03dffb0ec8c166f7a083fa273355476fe4e1b3ca0af37f7fb296e1199c4c42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3742",
    "kind": "arxiv",
    "version": 1
  }
}