Pith Number

pith:Q5NHSMME

pith:2014:Q5NHSMMEQ756QQSCVCC5UT4HTB

not attested not anchored not stored refs pending

Abundance of 3-planes on real projective hypersurfaces

Sergey Finashin, Viatcheslav Kharlamov

arxiv:1410.3871 v3 · 2014-10-14 · 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{Q5NHSMMEQ756QQSCVCC5UT4HTB}

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	2026-05-18T01:36:11.151034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

875a79318487fbe84242a885da4f87987c97942949587ad110f83c226ad821a1

Aliases

arxiv: 1410.3871 · arxiv_version: 1410.3871v3 · doi: 10.48550/arxiv.1410.3871 · pith_short_12: Q5NHSMMEQ756 · pith_short_16: Q5NHSMMEQ756QQSC · pith_short_8: Q5NHSMME

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/Q5NHSMMEQ756QQSCVCC5UT4HTB \
  | 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: 875a79318487fbe84242a885da4f87987c97942949587ad110f83c226ad821a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6569d9735c60b68282f701feb129b9e7ffdd600263c27f7579ed6e059d977ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-14T21:26:52Z",
    "title_canon_sha256": "120428483e831ad4e4b6062cc0425ccf79c6f00426c2e0badebdfe1662ba3eb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3871",
    "kind": "arxiv",
    "version": 3
  }
}