Pith Number

pith:H53HMXM4

pith:2018:H53HMXM4AVPTMB4VPIFYIGX4AQ

not attested not anchored not stored refs pending

Experiments with the Markoff surface

Matthew de Courcy-Ireland, Seungjae Lee

arxiv:1812.07275 v1 · 2018-12-18 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H53HMXM4AVPTMB4VPIFYIGX4AQ}

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	2026-05-17T23:58:00.994377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f76765d9c055f3607957a0b841afc0420631fac22cc9cc32a8f50ef09cbae21

Aliases

arxiv: 1812.07275 · arxiv_version: 1812.07275v1 · doi: 10.48550/arxiv.1812.07275 · pith_short_12: H53HMXM4AVPT · pith_short_16: H53HMXM4AVPTMB4V · pith_short_8: H53HMXM4

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/H53HMXM4AVPTMB4VPIFYIGX4AQ \
  | 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: 3f76765d9c055f3607957a0b841afc0420631fac22cc9cc32a8f50ef09cbae21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebc55b20dbed2a716efabe865e0c4c7fb3eb67f3e83aa1e71254376ed11d2623",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-18T10:18:50Z",
    "title_canon_sha256": "f6d14df3334ceca46c3ee67d6db996dfc0fbb1b08afb2670ad1242a2abd2375e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07275",
    "kind": "arxiv",
    "version": 1
  }
}