Pith Number

pith:X6OEHK2H

pith:2018:X6OEHK2HHF6CTKIJ2KJ2M55Y4F

not attested not anchored not stored refs pending

Local effectivity in projective spaces

Justyna Szpond, Marcin Dumnicki, Tomasz Szemberg

arxiv:1802.08699 v1 · 2018-02-23 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6OEHK2HHF6CTKIJ2KJ2M55Y4F}

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	2026-05-18T00:22:36.707735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf9c43ab47397c29a909d293a677b8e1752b411762599f1d33ac9dec1b722009

Aliases

arxiv: 1802.08699 · arxiv_version: 1802.08699v1 · doi: 10.48550/arxiv.1802.08699 · pith_short_12: X6OEHK2HHF6C · pith_short_16: X6OEHK2HHF6CTKIJ · pith_short_8: X6OEHK2H

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/X6OEHK2HHF6CTKIJ2KJ2M55Y4F \
  | 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: bf9c43ab47397c29a909d293a677b8e1752b411762599f1d33ac9dec1b722009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "074181d61004e380309e761f5a7489bebad76ea4c64bfa6b699c61f6b9c66e37",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-23T19:02:57Z",
    "title_canon_sha256": "0d988286e0b453f4f8dba1debaf86b95afa114ccf3210aece101a039903888db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08699",
    "kind": "arxiv",
    "version": 1
  }
}