Pith Number

pith:YP4BD7VC

pith:2015:YP4BD7VCFEUCXPJXWEMEWM32QY

not attested not anchored not stored refs pending

A stationary phase type estimate

C Zuily (LM-Orsay), N Burq (LM-Orsay), T Alazard (DMA)

arxiv:1511.01439 v1 · 2015-11-04 · 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{YP4BD7VCFEUCXPJXWEMEWM32QY}

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	2026-05-18T01:27:47.085558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3f811fea229282bbd37b1184b337a861f6a1e6da54a66356a531b76601eda31

Aliases

arxiv: 1511.01439 · arxiv_version: 1511.01439v1 · doi: 10.48550/arxiv.1511.01439 · pith_short_12: YP4BD7VCFEUC · pith_short_16: YP4BD7VCFEUCXPJX · pith_short_8: YP4BD7VC

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/YP4BD7VCFEUCXPJXWEMEWM32QY \
  | 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: c3f811fea229282bbd37b1184b337a861f6a1e6da54a66356a531b76601eda31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41bdc407fcc2ca0ce0d8e84e590558b5ca87fd92eda3ac2eb75cf3dc854b30f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-04T19:13:24Z",
    "title_canon_sha256": "93a81fdd3923029db7786823874dc699e0e7ccc737dd0ff83ac84e8aa13f76c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01439",
    "kind": "arxiv",
    "version": 1
  }
}