Pith Number

pith:6X7EZGPT

pith:2016:6X7EZGPTV5BZCYJKAIFYB3JZO3

not attested not anchored not stored refs pending

Positivity functions for curves on algebraic varieties

Brian Lehmann, Jian Xiao

arxiv:1607.05337 v1 · 2016-07-18 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6X7EZGPTV5BZCYJKAIFYB3JZO3}

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	2026-05-18T01:10:55.216936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5fe4c99f3af4391612a020b80ed3976caae12589ad16019e224aa3e2e8a0520

Aliases

arxiv: 1607.05337 · arxiv_version: 1607.05337v1 · doi: 10.48550/arxiv.1607.05337 · pith_short_12: 6X7EZGPTV5BZ · pith_short_16: 6X7EZGPTV5BZCYJK · pith_short_8: 6X7EZGPT

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/6X7EZGPTV5BZCYJKAIFYB3JZO3 \
  | 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: f5fe4c99f3af4391612a020b80ed3976caae12589ad16019e224aa3e2e8a0520

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58479e0eb68f98f3c58204d44571537f82554eb31d0f13f6fb6e4d4f047f0e69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-18T22:15:28Z",
    "title_canon_sha256": "74520c8997a4a798c026ab7337827b41a6e832da9fdd0c2672478baf5b99bdde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05337",
    "kind": "arxiv",
    "version": 1
  }
}