Pith Number

pith:VMLVWONX

pith:2007:VMLVWONXE2ATXNENCYY3TKDVEM

not attested not anchored not stored refs pending

Large time existence for 3D water-waves and asymptotics

Borys Alvarez-Samaniego (IMB), David Lannes (IMB)

arxiv:math/0702015 v2 · 2007-02-01 · 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{VMLVWONXE2ATXNENCYY3TKDVEM}

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	2026-05-18T01:19:31.194718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab175b39b726813bb48d1631b9a875231b08d46fa82516950be904012142e362

Aliases

arxiv: math/0702015 · arxiv_version: math/0702015v2 · doi: 10.48550/arxiv.math/0702015 · pith_short_12: VMLVWONXE2AT · pith_short_16: VMLVWONXE2ATXNEN · pith_short_8: VMLVWONX

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/VMLVWONXE2ATXNENCYY3TKDVEM \
  | 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: ab175b39b726813bb48d1631b9a875231b08d46fa82516950be904012142e362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0dcf41807d26194c3d1761e426b61c741791f25007102cc86373fb09a6b864",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-02-01T09:23:41Z",
    "title_canon_sha256": "16b8ad916115171dcefc285c7b9199d139913d062dee0cbc7b85ddab075541e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702015",
    "kind": "arxiv",
    "version": 2
  }
}