Pith Number

pith:HJYQ434S

pith:2010:HJYQ434SCIEIVXOD5LB5PO273U

not attested not anchored not stored refs pending

Neighbourhoods and isotopies of knots in contact 3-manifolds

Fan Ding, Hansj\"org Geiges

arxiv:1012.1721 v1 · 2010-12-08 · math.SG · 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{HJYQ434SCIEIVXOD5LB5PO273U}

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	2026-05-18T04:06:55.101477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a710e6f9212088addc3eac3d7bb5fdd0fcdc187716c7e5ee25c8f02cdb6a1af

Aliases

arxiv: 1012.1721 · arxiv_version: 1012.1721v1 · doi: 10.48550/arxiv.1012.1721 · pith_short_12: HJYQ434SCIEI · pith_short_16: HJYQ434SCIEIVXOD · pith_short_8: HJYQ434S

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/HJYQ434SCIEIVXOD5LB5PO273U \
  | 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: 3a710e6f9212088addc3eac3d7bb5fdd0fcdc187716c7e5ee25c8f02cdb6a1af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95a130b92853212b455540c5869086b8e19071bb9e286c292b126650dfce9399",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-12-08T10:00:11Z",
    "title_canon_sha256": "1b14fe56ccb369d90aa7317627bf6ef988aac3d4d8c060a4aa8ce13f86a1184f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1721",
    "kind": "arxiv",
    "version": 1
  }
}