Pith Number

pith:TG2RGOKU

pith:2011:TG2RGOKUERCGDRH4UJMWYRC6ZF

not attested not anchored not stored refs pending

An elliptic problem with two singularities

Gisella Croce (LMAH)

arxiv:1107.1135 v1 · 2011-07-06 · 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{TG2RGOKUERCGDRH4UJMWYRC6ZF}

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	2026-05-18T04:18:45.506625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99b5133954244461c4fca2596c445ec951035d43f410495e073e655ea10a9379

Aliases

arxiv: 1107.1135 · arxiv_version: 1107.1135v1 · doi: 10.48550/arxiv.1107.1135 · pith_short_12: TG2RGOKUERCG · pith_short_16: TG2RGOKUERCGDRH4 · pith_short_8: TG2RGOKU

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/TG2RGOKUERCGDRH4UJMWYRC6ZF \
  | 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: 99b5133954244461c4fca2596c445ec951035d43f410495e073e655ea10a9379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8a87b3a5f2b00ce203cff3d061dbc1ec6a1623a9013a9ab802ec49300759335",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-06T13:56:41Z",
    "title_canon_sha256": "e2cdb0435759df517514884a92b941492db3c0015ea6b688d30e7fd7a8e336e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1135",
    "kind": "arxiv",
    "version": 1
  }
}