Pith Number

pith:CTB5IZQH

pith:2017:CTB5IZQH6HD2WXWNZZXDWN4R3Y

not attested not anchored not stored refs pending

Rational map ax+1/x on the projective line over $\mathbb{Q}_2$

Lingmin Liao, Shilei Fan

arxiv:1706.01227 v1 · 2017-06-05 · 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{CTB5IZQH6HD2WXWNZZXDWN4R3Y}

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	2026-05-18T00:43:04.114731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14c3d46607f1c7ab5ecdce6e3b3791de13b2d44925e8ac26a7d4e0f227920e2a

Aliases

arxiv: 1706.01227 · arxiv_version: 1706.01227v1 · doi: 10.48550/arxiv.1706.01227 · pith_short_12: CTB5IZQH6HD2 · pith_short_16: CTB5IZQH6HD2WXWN · pith_short_8: CTB5IZQH

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/CTB5IZQH6HD2WXWNZZXDWN4R3Y \
  | 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: 14c3d46607f1c7ab5ecdce6e3b3791de13b2d44925e8ac26a7d4e0f227920e2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd87a71c7a9e3be0085262f2ebe79b9aa55726b777f1866139e3c73dad2e2815",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-05T07:49:59Z",
    "title_canon_sha256": "2eb7772ac5c414893ad68cbcad88deb3932e09540a2824914f4cbb5a490487f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01227",
    "kind": "arxiv",
    "version": 1
  }
}