Pith Number

pith:RW74E4KM

pith:2016:RW74E4KMYEEPQFLDVTJAC33W4J

not attested not anchored not stored refs pending

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

Lingmin Liao (LAMA), Shilei Fan (CCNU)

arxiv:1612.01881 v1 · 2016-12-06 · 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{RW74E4KMYEEPQFLDVTJAC33W4J}

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	2026-05-18T00:55:47.462499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dbfc2714cc108f81563acd2016f76e256d745ed08a82ce347e0c22aaaff27cc

Aliases

arxiv: 1612.01881 · arxiv_version: 1612.01881v1 · doi: 10.48550/arxiv.1612.01881 · pith_short_12: RW74E4KMYEEP · pith_short_16: RW74E4KMYEEPQFLD · pith_short_8: RW74E4KM

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/RW74E4KMYEEPQFLDVTJAC33W4J \
  | 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: 8dbfc2714cc108f81563acd2016f76e256d745ed08a82ce347e0c22aaaff27cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5a2b1794887caec437f7420102fb3484801f0c770a07e899c163e0553ce841e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-06T15:54:21Z",
    "title_canon_sha256": "402db3dfc74f4b1d38a3098977c2a4a65f828154b428bd6ad725b58a847e4951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01881",
    "kind": "arxiv",
    "version": 1
  }
}