Pith Number

pith:RG5UXFQO

pith:2010:RG5UXFQOBUBKOSSFZQAIWK2U5E

not attested not anchored not stored refs pending

Limits of quotients of real analytic functions in two variables

Carlos A. Cadavid, Juan D. Velez, Sergio Molina

arxiv:1011.1591 v1 · 2010-11-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RG5UXFQOBUBKOSSFZQAIWK2U5E}

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	2026-05-18T04:36:50.861609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89bb4b960e0d02a74a45cc008b2b54e919cfcda4253f2d4232b1492d1047da5b

Aliases

arxiv: 1011.1591 · arxiv_version: 1011.1591v1 · doi: 10.48550/arxiv.1011.1591 · pith_short_12: RG5UXFQOBUBK · pith_short_16: RG5UXFQOBUBKOSSF · pith_short_8: RG5UXFQO

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/RG5UXFQOBUBKOSSFZQAIWK2U5E \
  | 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: 89bb4b960e0d02a74a45cc008b2b54e919cfcda4253f2d4232b1492d1047da5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aa6179abd09d0ff25ccca05b865d8c847995c5df507548485f269b44beaeef0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-06T21:33:52Z",
    "title_canon_sha256": "43e68485eef2e3e125da72945403bc83ca3478a4fbffffcf64834493ba9f84cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1591",
    "kind": "arxiv",
    "version": 1
  }
}