Pith Number

pith:XELIO6GF

pith:2017:XELIO6GF7MOGLWQKHTPHZWF6TX

not attested not anchored not stored refs pending

Legendrian Satellites and Decomposable Concordances

Joshua M. Sabloff, Matthew Yacavone, Sipeng Zhou, Yanhan Liu

arxiv:1710.00943 v1 · 2017-10-03 · 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{XELIO6GF7MOGLWQKHTPHZWF6TX}

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	2026-05-18T00:33:47.419865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9168778c5fb1c65da0a3cde7cd8be9de7141b6b0388e15a223bd71216e4ee8e

Aliases

arxiv: 1710.00943 · arxiv_version: 1710.00943v1 · doi: 10.48550/arxiv.1710.00943 · pith_short_12: XELIO6GF7MOG · pith_short_16: XELIO6GF7MOGLWQK · pith_short_8: XELIO6GF

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/XELIO6GF7MOGLWQKHTPHZWF6TX \
  | 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: b9168778c5fb1c65da0a3cde7cd8be9de7141b6b0388e15a223bd71216e4ee8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592ddb243e55dc4eb982d0d6d1ee604580ffbcffe97cce4421b62844f02893d4",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-10-03T00:16:41Z",
    "title_canon_sha256": "8c846a7b33a60dd14692600563ab60f8372a342ca9418dc26f23a4451bc78f3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00943",
    "kind": "arxiv",
    "version": 1
  }
}