Pith Number

pith:TYNJGYVI

pith:2011:TYNJGYVITLBVBNWYZ3KXNR3NLK

not attested not anchored not stored refs pending

Higher $K$-Groups of Smooth Projective Curves Over Finite Fields

Hourong Qin, Qingzhong Ji

arxiv:1112.5920 v1 · 2011-12-27 · 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{TYNJGYVITLBVBNWYZ3KXNR3NLK}

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	2026-05-18T04:05:37.259015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e1a9362a89ac350b6d8ced576c76d5ab719dd9c0d54cf0b64aea0cb3e50b650

Aliases

arxiv: 1112.5920 · arxiv_version: 1112.5920v1 · doi: 10.48550/arxiv.1112.5920 · pith_short_12: TYNJGYVITLBV · pith_short_16: TYNJGYVITLBVBNWY · pith_short_8: TYNJGYVI

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/TYNJGYVITLBVBNWYZ3KXNR3NLK \
  | 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: 9e1a9362a89ac350b6d8ced576c76d5ab719dd9c0d54cf0b64aea0cb3e50b650

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a391f7fe759ada3d1730c72644ef1fc9639d75f0880a59b47ebee8212af9106a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-27T04:24:22Z",
    "title_canon_sha256": "c7d6a12aafeacf108c1f026c8153de5b6689e0ed3fb14decb4bdca05a7bf44bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5920",
    "kind": "arxiv",
    "version": 1
  }
}