Pith Number

pith:J46R6Q7D

pith:2015:J46R6Q7DD66ZGPDLFIHZUWCVH5

not attested not anchored not stored refs pending

Spectral invariants for monotone Lagrangians

Frol Zapolsky, R\'emi Leclercq

arxiv:1505.07430 v2 · 2015-05-27 · 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{J46R6Q7DD66ZGPDLFIHZUWCVH5}

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	2026-05-18T01:31:52.906092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f3d1f43e31fbd933c6b2a0f9a58553f53127b6c7cc533362d8ebfca5a34b20d

Aliases

arxiv: 1505.07430 · arxiv_version: 1505.07430v2 · doi: 10.48550/arxiv.1505.07430 · pith_short_12: J46R6Q7DD66Z · pith_short_16: J46R6Q7DD66ZGPDL · pith_short_8: J46R6Q7D

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/J46R6Q7DD66ZGPDLFIHZUWCVH5 \
  | 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: 4f3d1f43e31fbd933c6b2a0f9a58553f53127b6c7cc533362d8ebfca5a34b20d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fea70fe0ea8c5e5432f3fbbba792f8265cf0a394ca9ce3c4afbfc4d9d95e084",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-05-27T18:37:27Z",
    "title_canon_sha256": "5b017ee1091e993a10fbccfc516ba83ed16eac987424832c7fab15fac8deb93a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07430",
    "kind": "arxiv",
    "version": 2
  }
}