Pith Number

pith:DZG5ELZS

pith:2015:DZG5ELZSB3C7RGAV3HQ5CC44IR

not attested not anchored not stored refs pending

A calculation of Blanchfield pairings of 3-manifolds and knots

Mark Powell, Stefan Friedl

arxiv:1512.04603 v2 · 2015-12-14 · 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{DZG5ELZSB3C7RGAV3HQ5CC44IR}

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	2026-05-18T01:19:33.926770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e4dd22f320ec5f89815d9e1d10b9c4467a3f5e390dc0ad794610955acb10039

Aliases

arxiv: 1512.04603 · arxiv_version: 1512.04603v2 · doi: 10.48550/arxiv.1512.04603 · pith_short_12: DZG5ELZSB3C7 · pith_short_16: DZG5ELZSB3C7RGAV · pith_short_8: DZG5ELZS

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/DZG5ELZSB3C7RGAV3HQ5CC44IR \
  | 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: 1e4dd22f320ec5f89815d9e1d10b9c4467a3f5e390dc0ad794610955acb10039

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0d156bf714c89428c1cf7d8442850abe967e15c63f5c086a0903258fe9747e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-14T23:40:22Z",
    "title_canon_sha256": "8f8eef4bd19bf3d23dd377a14f8143034fb24ac671afd36be0df50f4d4cd3f7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04603",
    "kind": "arxiv",
    "version": 2
  }
}