Pith Number

pith:DG3GIFVD

pith:2014:DG3GIFVDYGBFDUAP7T3WOV2ZEA

not attested not anchored not stored refs pending

An inverse approach to the center-foci problem

Rafael Ram\'irez, Valent\'in Ram\'irez

arxiv:1412.0051 v2 · 2014-11-28 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DG3GIFVDYGBFDUAP7T3WOV2ZEA}

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	2026-05-18T02:32:13.513113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19b66416a3c18251d00ffcf7675759203b5b4054a65651bb4d6f5c937a8d565c

Aliases

arxiv: 1412.0051 · arxiv_version: 1412.0051v2 · doi: 10.48550/arxiv.1412.0051 · pith_short_12: DG3GIFVDYGBF · pith_short_16: DG3GIFVDYGBFDUAP · pith_short_8: DG3GIFVD

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/DG3GIFVDYGBFDUAP7T3WOV2ZEA \
  | 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: 19b66416a3c18251d00ffcf7675759203b5b4054a65651bb4d6f5c937a8d565c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8417b45f5c291213b443d4a5397a46107e1e5d9dd230c0a9eabe6c83493761a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-11-28T23:59:57Z",
    "title_canon_sha256": "eb6144673eb75ff8352910492b05a0a21bd839e429512b80da2888b92ba69b1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0051",
    "kind": "arxiv",
    "version": 2
  }
}