Pith Number

pith:RTILKQF4

pith:2012:RTILKQF4ZMMNZCEAJRVOK3REVN

not attested not anchored not stored refs pending

Multiplicity Estimates for Algebraically Dependent Analytic Functions

Evgeniy Zorin

arxiv:1211.0639 v1 · 2012-11-03 · math.NT · 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{RTILKQF4ZMMNZCEAJRVOK3REVN}

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	2026-05-18T00:15:59.777774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cd0b540bccb18dc88804c6ae56e24ab49490b797bbe84189d87f7aa2de5c822

Aliases

arxiv: 1211.0639 · arxiv_version: 1211.0639v1 · doi: 10.48550/arxiv.1211.0639 · pith_short_12: RTILKQF4ZMMN · pith_short_16: RTILKQF4ZMMNZCEA · pith_short_8: RTILKQF4

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/RTILKQF4ZMMNZCEAJRVOK3REVN \
  | 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: 8cd0b540bccb18dc88804c6ae56e24ab49490b797bbe84189d87f7aa2de5c822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f89ee801fb1565e82bd107820178ff668a7a0a85538e2424ce8c73053b5bf38",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-03T21:44:00Z",
    "title_canon_sha256": "6c0fa86ed2451179c34b9de0ff409754741c3053b0a4b55e1f34d170f939d4f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0639",
    "kind": "arxiv",
    "version": 1
  }
}