Pith Number

pith:FTC7VNAZ

pith:2004:FTC7VNAZYW3EMPS3TIV75S4MTQ

not attested not anchored not stored refs pending

Existence of a solution to a nonlinear equation

A.G.Ramm

arxiv:math/0410452 v2 · 2004-10-20 · 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{FTC7VNAZYW3EMPS3TIV75S4MTQ}

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	2026-05-18T01:05:25.711465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cc5fab419c5b6463e5b9a2bfecb8c9c26bb9cf74f78f2435aa56ce57a820275

Aliases

arxiv: math/0410452 · arxiv_version: math/0410452v2 · doi: 10.48550/arxiv.math/0410452 · pith_short_12: FTC7VNAZYW3E · pith_short_16: FTC7VNAZYW3EMPS3 · pith_short_8: FTC7VNAZ

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/FTC7VNAZYW3EMPS3TIV75S4MTQ \
  | 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: 2cc5fab419c5b6463e5b9a2bfecb8c9c26bb9cf74f78f2435aa56ce57a820275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "626780cde0e0e7c1790e7b6d9f6ca9139c7699253ca963e5a7088543c42f03e5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2004-10-20T21:19:14Z",
    "title_canon_sha256": "fdd455fd4de531ccad28eea0090f55f5235d7e8913953beff9f3551a5d0bb967"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410452",
    "kind": "arxiv",
    "version": 2
  }
}