Pith Number

pith:5D7Y4XXT

pith:2014:5D7Y4XXTRHMED4V4RNGXJJ5QV5

not attested not anchored not stored refs pending

Generalized plumbings and Murasugi sums

Burak Ozbagci, Patrick Popescu-Pampu

arxiv:1412.2229 v2 · 2014-12-06 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5D7Y4XXTRHMED4V4RNGXJJ5QV5}

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	2026-05-18T01:18:52.838351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8ff8e5ef389d841f2bc8b4d74a7b0af7ad8272ad427a5fd85bf3306414a3594

Aliases

arxiv: 1412.2229 · arxiv_version: 1412.2229v2 · doi: 10.48550/arxiv.1412.2229 · pith_short_12: 5D7Y4XXTRHME · pith_short_16: 5D7Y4XXTRHMED4V4 · pith_short_8: 5D7Y4XXT

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/5D7Y4XXTRHMED4V4RNGXJJ5QV5 \
  | 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: e8ff8e5ef389d841f2bc8b4d74a7b0af7ad8272ad427a5fd85bf3306414a3594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb58e27b2dbe66c087ecf9ee453aaf64eed9adc42f70833bb3ff6b659ec2462c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-06T12:47:53Z",
    "title_canon_sha256": "6f509246617c23bac23ef6b9a5d04184b5d297ba5f521d226295355533fdd7e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2229",
    "kind": "arxiv",
    "version": 2
  }
}