Pith Number

pith:DNXP7CCG

pith:2013:DNXP7CCG5QTGTTKJB4CHJP3RP6

not attested not anchored not stored refs pending

On a local-global principle for $H^3$ of function fields of surfaces over a finite field

Alena Pirutka

arxiv:1308.3458 v1 · 2013-08-15 · 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{DNXP7CCG5QTGTTKJB4CHJP3RP6}

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	2026-05-18T03:15:54.554587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b6eff8846ec2669cd490f0474bf717fa4431b4be60825dc87645b5b964f77b3

Aliases

arxiv: 1308.3458 · arxiv_version: 1308.3458v1 · doi: 10.48550/arxiv.1308.3458 · pith_short_12: DNXP7CCG5QTG · pith_short_16: DNXP7CCG5QTGTTKJ · pith_short_8: DNXP7CCG

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/DNXP7CCG5QTGTTKJB4CHJP3RP6 \
  | 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: 1b6eff8846ec2669cd490f0474bf717fa4431b4be60825dc87645b5b964f77b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a2760340372aa8c30fc7186f95f71831b836abf89bb6fa7b34d65bbd87158ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-15T17:10:58Z",
    "title_canon_sha256": "7e9b0fd6d7c5c4c6c85495968cd9eb7d764b997ad011ebd24084a8daf73ea442"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3458",
    "kind": "arxiv",
    "version": 1
  }
}