Pith Number

pith:XIZJY4X5

pith:2011:XIZJY4X5MRHCZ7C7G4FWCAR7YG

not attested not anchored not stored refs pending

The support genus of certain Legendrian knots

Jiajun Wang, Youlin Li

arxiv:1101.5213 v1 · 2011-01-27 · 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{XIZJY4X5MRHCZ7C7G4FWCAR7YG}

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	2026-05-18T04:30:35.902449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba329c72fd644e2cfc5f370b61023fc19d8a22f2591a9a7ed8fa46a26f4ca254

Aliases

arxiv: 1101.5213 · arxiv_version: 1101.5213v1 · doi: 10.48550/arxiv.1101.5213 · pith_short_12: XIZJY4X5MRHC · pith_short_16: XIZJY4X5MRHCZ7C7 · pith_short_8: XIZJY4X5

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/XIZJY4X5MRHCZ7C7G4FWCAR7YG \
  | 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: ba329c72fd644e2cfc5f370b61023fc19d8a22f2591a9a7ed8fa46a26f4ca254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb2bf0b85bbfcab9a7e0313d93feb071818e0cfa62bb21b0795cb7416ac9ec26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-01-27T06:05:01Z",
    "title_canon_sha256": "90498aefcbe440338bfd0df2e9e0318312d0a1ed5a704ba0343a4d1047801a1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5213",
    "kind": "arxiv",
    "version": 1
  }
}