Pith Number

pith:VU5JP5IE

pith:2012:VU5JP5IE4E6MZYLW4CLKASSJZO

not attested not anchored not stored refs pending

Families index for Boutet de Monvel operators

Elmar Schrohe (Leibniz Universit\"at Hannover), Severino Melo (Universidade de S\~ao Paulo), Thomas Schick (Georg-August Universit\"at G\"ottingen)

arxiv:1203.0482 v2 · 2012-03-02 · math.KT · math.AP · 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{VU5JP5IE4E6MZYLW4CLKASSJZO}

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	2026-05-18T01:36:51.932970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad3a97f504e13ccce176e096a04a49cb93ed4e2e3a990b472d9b02a63cb871ea

Aliases

arxiv: 1203.0482 · arxiv_version: 1203.0482v2 · doi: 10.48550/arxiv.1203.0482 · pith_short_12: VU5JP5IE4E6M · pith_short_16: VU5JP5IE4E6MZYLW · pith_short_8: VU5JP5IE

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/VU5JP5IE4E6MZYLW4CLKASSJZO \
  | 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: ad3a97f504e13ccce176e096a04a49cb93ed4e2e3a990b472d9b02a63cb871ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "461db05a71ebba6136259012e591ea9b2aaac7ad56036e8900b4ea7b18de6295",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-03-02T14:57:16Z",
    "title_canon_sha256": "96fc3c5a4d7807c4eb46f84fe7cf957924de211b2fcbd7630cbf5296cbb15d5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0482",
    "kind": "arxiv",
    "version": 2
  }
}