Pith Number

pith:VTTTFXWT

pith:2015:VTTTFXWTK7OG2GU3TP3KEJ5DG4

not attested not anchored not stored refs pending

On the high frequency limit of the LLL equation

Laurent Thomann (IECL), Pierre Germain (CIMS)

arxiv:1509.09080 v1 · 2015-09-30 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTTTFXWTK7OG2GU3TP3KEJ5DG4}

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.

Cited by

1 paper in Pith

A superintegrable quantum field theory

Receipt and verification

First computed	2026-05-18T01:31:29.131468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace732ded357dc6d1a9b9bf6a227a33702efaa67ab2632446776a35db5d97eab

Aliases

arxiv: 1509.09080 · arxiv_version: 1509.09080v1 · doi: 10.48550/arxiv.1509.09080 · pith_short_12: VTTTFXWTK7OG · pith_short_16: VTTTFXWTK7OG2GU3 · pith_short_8: VTTTFXWT

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/VTTTFXWTK7OG2GU3TP3KEJ5DG4 \
  | 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: ace732ded357dc6d1a9b9bf6a227a33702efaa67ab2632446776a35db5d97eab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ffb00447bd5b3a1d7bbcd5ac781a8726519543a9424e9ee19156d5d7ff79751",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-30T08:48:20Z",
    "title_canon_sha256": "bbd9210d60e0b4fa63857318d135dae1869c7647e0289f648f0e76d9d72df491"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09080",
    "kind": "arxiv",
    "version": 1
  }
}