Pith Number

pith:GDMQ4DQW

pith:2013:GDMQ4DQWWEN4CD26HXTGCC5MRZ

not attested not anchored not stored refs pending

An Introduction to Inversion in an Ellipse

Jos\'e L. Ram\'irez

arxiv:1309.6378 v1 · 2013-09-25 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GDMQ4DQWWEN4CD26HXTGCC5MRZ}

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	2026-05-18T03:12:21.371732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30d90e0e16b11bc10f5e3de6610bac8e735a8f9ae7f96acdc87f44d3c3623afe

Aliases

arxiv: 1309.6378 · arxiv_version: 1309.6378v1 · doi: 10.48550/arxiv.1309.6378 · pith_short_12: GDMQ4DQWWEN4 · pith_short_16: GDMQ4DQWWEN4CD26 · pith_short_8: GDMQ4DQW

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/GDMQ4DQWWEN4CD26HXTGCC5MRZ \
  | 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: 30d90e0e16b11bc10f5e3de6610bac8e735a8f9ae7f96acdc87f44d3c3623afe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b42d937f3dfb7c5dc1e7ed2bb06797ef187be004ff854543f9732885ad4039",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-09-25T01:45:16Z",
    "title_canon_sha256": "bbb1e5d81486c5a59139c1f1ab779457ee2ddd00ca4e41b6c1b77d0ee87d28b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6378",
    "kind": "arxiv",
    "version": 1
  }
}