Pith Number

pith:PLOD6XGR

pith:2003:PLOD6XGRCB5CBD3S4QUGVVC5V2

not attested not anchored not stored refs pending

Exponential Gelfond-Khovanskii formula in dimension one

Evgenia Soprunova

arxiv:math/0312433 v1 · 2003-12-23 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLOD6XGRCB5CBD3S4QUGVVC5V2}

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	2026-05-18T04:03:17.891923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7adc3f5cd1107a208f72e4286ad45dae927ab5477410d7d5778a1a26691a7e24

Aliases

arxiv: math/0312433 · arxiv_version: math/0312433v1 · doi: 10.48550/arxiv.math/0312433 · pith_short_12: PLOD6XGRCB5C · pith_short_16: PLOD6XGRCB5CBD3S · pith_short_8: PLOD6XGR

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/PLOD6XGRCB5CBD3S4QUGVVC5V2 \
  | 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: 7adc3f5cd1107a208f72e4286ad45dae927ab5477410d7d5778a1a26691a7e24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af661a82893fa1be47508e62e93b41147efbd10b7ef1e95eb6a4a25e09dffa45",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2003-12-23T20:35:20Z",
    "title_canon_sha256": "1154e73e53c6fffa0ef002bc22e41c67d13f797103be8f80cb394bf96414bc07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312433",
    "kind": "arxiv",
    "version": 1
  }
}