Pith Number

pith:A4LJOHHK

pith:2018:A4LJOHHKGNW4H3TLSMWDFKYPH6

not attested not anchored not stored refs pending

On braided, banded surfaces and ribbon obstructions

J. Elisenda Grigsby

arxiv:1801.07158 v1 · 2018-01-22 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4LJOHHKGNW4H3TLSMWDFKYPH6}

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	2026-05-18T00:25:22.072877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0716971cea336dc3ee6b932c32ab0f3fae2ad91ee8768ad2f448ac45cd6b5a3c

Aliases

arxiv: 1801.07158 · arxiv_version: 1801.07158v1 · doi: 10.48550/arxiv.1801.07158 · pith_short_12: A4LJOHHKGNW4 · pith_short_16: A4LJOHHKGNW4H3TL · pith_short_8: A4LJOHHK

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/A4LJOHHKGNW4H3TLSMWDFKYPH6 \
  | 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: 0716971cea336dc3ee6b932c32ab0f3fae2ad91ee8768ad2f448ac45cd6b5a3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52757586c48439d38a3c2e2f9e4bb86e1e8cbb38e21ec7aaccb51800b4ad5a50",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-01-22T16:02:35Z",
    "title_canon_sha256": "4cdefe4088531a1e6913c4a7a52555e838e114c536aa7089f40a96aa4b41c8fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07158",
    "kind": "arxiv",
    "version": 1
  }
}