Pith Number

pith:3DUTMTGO

pith:2016:3DUTMTGOK2PN2XLPEMUCLVI37C

not attested not anchored not stored refs pending

Toeplitz operators, pseudo-homogeneous symbols and moment maps on the complex projective space

Armando S\'anchez-Nungaray, Miguel Antonio Morales-Ramos, Ra\'ul Quiroga-Barranco

arxiv:1608.08543 v1 · 2016-08-30 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DUTMTGOK2PN2XLPEMUCLVI37C}

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	2026-05-18T01:07:17.867666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8e9364cce569edd5d6f232825d51bf88bef318123b91ac722da2d3f9d7afea5

Aliases

arxiv: 1608.08543 · arxiv_version: 1608.08543v1 · doi: 10.48550/arxiv.1608.08543 · pith_short_12: 3DUTMTGOK2PN · pith_short_16: 3DUTMTGOK2PN2XLP · pith_short_8: 3DUTMTGO

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/3DUTMTGOK2PN2XLPEMUCLVI37C \
  | 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: d8e9364cce569edd5d6f232825d51bf88bef318123b91ac722da2d3f9d7afea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84b4d45151a2ddb8273c6f9f2f2cb8344bdb858c561f89b2e1ba573f71f55ab3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-30T16:19:31Z",
    "title_canon_sha256": "5527ee4a0527e6d423bd230e0540877f7d1c6a5e2772823f6e4dbb533eacc84d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08543",
    "kind": "arxiv",
    "version": 1
  }
}