Pith Number

pith:62ZZ3VZF

pith:2017:62ZZ3VZFTQ6FFVOOY2S3BL7MVJ

not attested not anchored not stored refs pending

Two-microlocal regularity of quasimodes on the torus

Fabricio Maci\`a, Gabriel Rivi\`ere

arxiv:1708.08799 v1 · 2017-08-29 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62ZZ3VZFTQ6FFVOOY2S3BL7MVJ}

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	2026-05-18T00:13:32.144542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b39dd7259c3c52d5cec6a5b0afecaa5235120b13cb9f0a5039d058b4d8fdee

Aliases

arxiv: 1708.08799 · arxiv_version: 1708.08799v1 · doi: 10.48550/arxiv.1708.08799 · pith_short_12: 62ZZ3VZFTQ6F · pith_short_16: 62ZZ3VZFTQ6FFVOO · pith_short_8: 62ZZ3VZF

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/62ZZ3VZFTQ6FFVOOY2S3BL7MVJ \
  | 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: f6b39dd7259c3c52d5cec6a5b0afecaa5235120b13cb9f0a5039d058b4d8fdee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ea35e8ee0e1a4f023727a90ff1fa8dcf76d69aafe887fcc97e82b10ed27566",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-29T14:51:17Z",
    "title_canon_sha256": "ea85ce324286f2b46d5071d2e62fc1f56a01ba0bb7d4c0d6a7803b38d7d53e14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08799",
    "kind": "arxiv",
    "version": 1
  }
}