Pith Number

pith:IMYFSD37

pith:2008:IMYFSD37ZCWFJAJFSJOGASHDCU

not attested not anchored not stored refs pending

Billiards in Nearly Isosceles Triangles

Richard Evan Schwartz, W. Patrick Hooper

arxiv:0807.3498 v2 · 2008-07-22 · 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{IMYFSD37ZCWFJAJFSJOGASHDCU}

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	2026-05-18T03:21:55.040595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4330590f7fc8ac548125925c6048e3152f9893bc0fbc623716e10b3228084aa5

Aliases

arxiv: 0807.3498 · arxiv_version: 0807.3498v2 · doi: 10.48550/arxiv.0807.3498 · pith_short_12: IMYFSD37ZCWF · pith_short_16: IMYFSD37ZCWFJAJF · pith_short_8: IMYFSD37

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/IMYFSD37ZCWFJAJFSJOGASHDCU \
  | 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: 4330590f7fc8ac548125925c6048e3152f9893bc0fbc623716e10b3228084aa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4afdec479cf0ed56f380c1aeb60ce9ec137d81422078844cf812811f11061e39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-07-22T15:09:57Z",
    "title_canon_sha256": "95e43c8f0d70cce57ba3715188339694eb3345748c1ea3315994791fea303e1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3498",
    "kind": "arxiv",
    "version": 2
  }
}