Pith Number

pith:FNGXFQFQ

pith:2015:FNGXFQFQ3DT23GB45PJYQAXXFN

not attested not anchored not stored refs pending

Tight fibered knots and band sums

Kenneth L. Baker, Kimihiko Motegi

arxiv:1509.00121 v1 · 2015-09-01 · 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{FNGXFQFQ3DT23GB45PJYQAXXFN}

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	2026-05-18T01:34:30.576440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4d72c0b0d8e7ad983cebd38802f72b7afa98033659123c91d6528af295f2f3

Aliases

arxiv: 1509.00121 · arxiv_version: 1509.00121v1 · doi: 10.48550/arxiv.1509.00121 · pith_short_12: FNGXFQFQ3DT2 · pith_short_16: FNGXFQFQ3DT23GB4 · pith_short_8: FNGXFQFQ

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/FNGXFQFQ3DT23GB45PJYQAXXFN \
  | 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: 2b4d72c0b0d8e7ad983cebd38802f72b7afa98033659123c91d6528af295f2f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "742498d50897be7f25ca9c293f48e1b071c7e5ccf335bd207afb95433ae4e2fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-01T02:26:39Z",
    "title_canon_sha256": "d7470c9ea6e1ca0c8df876a5ee9fab972117ef9e10d1d3bfc8a3a94b7f743683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00121",
    "kind": "arxiv",
    "version": 1
  }
}