Pith Number

pith:VP3HLO33

pith:2007:VP3HLO33Z7IKHDRKAHY3FMASQQ

not attested not anchored not stored refs pending

A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations

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

arxiv:math/0701681 v1 · 2007-01-24 · 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{VP3HLO33Z7IKHDRKAHY3FMASQQ}

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	2026-05-18T00:19:54.152877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf675bb7bcfd0a38e2a01f1b2b012842e42e2d95d1bbc8c0e0280f4b674142b

Aliases

arxiv: math/0701681 · arxiv_version: math/0701681v1 · doi: 10.48550/arxiv.math/0701681 · pith_short_12: VP3HLO33Z7IK · pith_short_16: VP3HLO33Z7IKHDRK · pith_short_8: VP3HLO33

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/VP3HLO33Z7IKHDRKAHY3FMASQQ \
  | 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: abf675bb7bcfd0a38e2a01f1b2b012842e42e2d95d1bbc8c0e0280f4b674142b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d2602b35a7c2b2cf2865f74a55b43489223667164238d7ef5a2d82c8fc8d86a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-01-24T14:24:28Z",
    "title_canon_sha256": "447c44e1b829d24b890dad3841885a02d4ecd2f51f2347bae1356065b847a823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701681",
    "kind": "arxiv",
    "version": 1
  }
}