Pith Number

pith:JNPEGBTZ

pith:2017:JNPEGBTZJNJFY7WG6U6NXCNSZ7

not attested not anchored not stored refs pending

Lagrangian fillings and complicated Legendrian unknots

Sylvain Courte, Tobias Ekholm

arxiv:1712.07849 v2 · 2017-12-21 · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNPEGBTZJNJFY7WG6U6NXCNSZ7}

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	2026-05-18T00:23:11.528184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b5e4306794b525c7ec6f53cdb89b2cfce4fbf7f8d6e3af0527b326ff5ce150a

Aliases

arxiv: 1712.07849 · arxiv_version: 1712.07849v2 · doi: 10.48550/arxiv.1712.07849 · pith_short_12: JNPEGBTZJNJF · pith_short_16: JNPEGBTZJNJFY7WG · pith_short_8: JNPEGBTZ

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/JNPEGBTZJNJFY7WG6U6NXCNSZ7 \
  | 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: 4b5e4306794b525c7ec6f53cdb89b2cfce4fbf7f8d6e3af0527b326ff5ce150a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6494b9d840c5e2c114685f45f56a6cc127fe69aeeaa86ca15d4b99584fdd4c29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-12-21T09:57:00Z",
    "title_canon_sha256": "547bf5570ff15dea99b170dc8be75ad1d602b11f659177418f022927a00b2bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07849",
    "kind": "arxiv",
    "version": 2
  }
}