Pith Number

pith:TIYO3U26

pith:2009:TIYO3U26K3HOWNWFZU2HMHS5JS

not attested not anchored not stored refs pending

Some basic facts on the system \Delta u - W_u (u) = 0

Nicholas D. Alikakos

arxiv:0909.4392 v2 · 2009-09-24 · 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{TIYO3U26K3HOWNWFZU2HMHS5JS}

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	2026-05-18T04:38:15.624558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a30edd35e56ceeb36c5cd34761e5d4c985042a2a3e30237a8cfdef4b379ba26

Aliases

arxiv: 0909.4392 · arxiv_version: 0909.4392v2 · doi: 10.48550/arxiv.0909.4392 · pith_short_12: TIYO3U26K3HO · pith_short_16: TIYO3U26K3HOWNWF · pith_short_8: TIYO3U26

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/TIYO3U26K3HOWNWFZU2HMHS5JS \
  | 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: 9a30edd35e56ceeb36c5cd34761e5d4c985042a2a3e30237a8cfdef4b379ba26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43164addc8f6f70a6446fbd9dfeafbc55da83eef61e0e27e9d2e9749891b6bf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-09-24T09:09:30Z",
    "title_canon_sha256": "e9871438db01d4f3f59175334414bb49a1f9806027458bf21831ddbd6133cc0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4392",
    "kind": "arxiv",
    "version": 2
  }
}