Pith Number

pith:NGJGKSE3

pith:2026:NGJGKSE3TN4WL5SRWZ6VTQTRWF

not attested not anchored not stored refs pending

A General Aubry-Mather Theory

Nassif Ghoussoub

arxiv:2608.06344 v1 · 2026-08-06 · 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{NGJGKSE3TN4WL5SRWZ6VTQTRWF}

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	2026-08-07T01:41:26.853074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

699265489b9b7965f651b67d59c271b17fedf098dc83d9229b9916e0b23b54a0

Aliases

arxiv: 2608.06344 · arxiv_version: 2608.06344v1 · doi: 10.48550/arxiv.2608.06344 · pith_short_12: NGJGKSE3TN4W · pith_short_16: NGJGKSE3TN4WL5SR · pith_short_8: NGJGKSE3

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/NGJGKSE3TN4WL5SRWZ6VTQTRWF \
  | 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: 699265489b9b7965f651b67d59c271b17fedf098dc83d9229b9916e0b23b54a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "189aca2a089ded97a87b09e308575b1ce632f60b5ad4ea8c1f1627ed9ebc2dff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-06T17:51:00Z",
    "title_canon_sha256": "427acbc77fce2e53783440b658f31132690b1b80367c469219d1135035e38bf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06344",
    "kind": "arxiv",
    "version": 1
  }
}