Pith Number

pith:WA2DEEK6

pith:2016:WA2DEEK63K3TYT5DETJ2EINZK7

not attested not anchored not stored refs pending

Manolescu correction terms and knots in the three-sphere

Francesco Lin

arxiv:1607.05220 v3 · 2016-07-18 · 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{WA2DEEK63K3TYT5DETJ2EINZK7}

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	2026-05-18T00:49:06.686873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b03432115edab73c4fa324d3a221b957f87fba6351134cf3e828ce6fc004b3f8

Aliases

arxiv: 1607.05220 · arxiv_version: 1607.05220v3 · doi: 10.48550/arxiv.1607.05220 · pith_short_12: WA2DEEK63K3T · pith_short_16: WA2DEEK63K3TYT5D · pith_short_8: WA2DEEK6

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/WA2DEEK63K3TYT5DETJ2EINZK7 \
  | 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: b03432115edab73c4fa324d3a221b957f87fba6351134cf3e828ce6fc004b3f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12eaea33b60afbb94ae27ca035b2de81f13aa1471391d27254795400a6cf258e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-18T17:59:55Z",
    "title_canon_sha256": "8fee3557d31df0961e0360f6cf421f214f9fff592d79d7efb2674c5f82b929df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05220",
    "kind": "arxiv",
    "version": 3
  }
}