Pith Number

pith:W442TR7L

pith:2012:W442TR7LXXP6DTPEB4TCA2EHAH

not attested not anchored not stored refs pending

Microlocal limits of plane waves and Eisenstein functions

Colin Guillarmou, Semyon Dyatlov

arxiv:1204.1305 v2 · 2012-04-05 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W442TR7LXXP6DTPEB4TCA2EHAH}

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	2026-05-18T02:20:48.028786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b739a9c7ebbddfe1cde40f2620688701f4b06913b208ad1c67190c171ccba2e0

Aliases

arxiv: 1204.1305 · arxiv_version: 1204.1305v2 · doi: 10.48550/arxiv.1204.1305 · pith_short_12: W442TR7LXXP6 · pith_short_16: W442TR7LXXP6DTPE · pith_short_8: W442TR7L

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/W442TR7LXXP6DTPEB4TCA2EHAH \
  | 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: b739a9c7ebbddfe1cde40f2620688701f4b06913b208ad1c67190c171ccba2e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "672aa67f5e591ffe276bf4f3a7b46247a1bc95bf6724ad3cac09241b8067b863",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-05T18:50:55Z",
    "title_canon_sha256": "bda462533ed3bf48db238e785ccd061235817184d46478c5c0e69e07629d0083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1305",
    "kind": "arxiv",
    "version": 2
  }
}