Pith Number

pith:P65C5MHF

pith:2016:P65C5MHFKCSTBVDW7T2SRC42UE

not attested not anchored not stored refs pending

Fourier extension for extremal quadratic submanifolds

Philip T. Gressman

arxiv:1602.04789 v2 · 2016-02-15 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P65C5MHFKCSTBVDW7T2SRC42UE}

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	2026-05-18T01:20:38.054842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fba2eb0e550a530d476fcf5288b9aa100aaf7265a362508a0d980acdf40b942

Aliases

arxiv: 1602.04789 · arxiv_version: 1602.04789v2 · doi: 10.48550/arxiv.1602.04789 · pith_short_12: P65C5MHFKCST · pith_short_16: P65C5MHFKCSTBVDW · pith_short_8: P65C5MHF

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/P65C5MHFKCSTBVDW7T2SRC42UE \
  | 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: 7fba2eb0e550a530d476fcf5288b9aa100aaf7265a362508a0d980acdf40b942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d2261f6c1a9fe68a6b970615c7d8aa8d45c0b59491481cc64e3ab6e83abf52a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-02-15T20:10:32Z",
    "title_canon_sha256": "12440f618897d68bd1ec0a9a2c45c0824c3df426248eb5cbe7f05041d817af4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04789",
    "kind": "arxiv",
    "version": 2
  }
}