Pith Number

pith:TJ2OQCBJ

pith:2016:TJ2OQCBJQLLWOTXWAMB6OKEPMN

not attested not anchored not stored refs pending

Projective duality and a Chern-Mather involution

Paolo Aluffi

arxiv:1601.05427 v2 · 2016-01-20 · 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{TJ2OQCBJQLLWOTXWAMB6OKEPMN}

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	2026-05-18T00:25:12.050240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a74e8082982d7674ef60303e7288f634b8e26ecce27d2aa49f89fa67327eb75

Aliases

arxiv: 1601.05427 · arxiv_version: 1601.05427v2 · doi: 10.48550/arxiv.1601.05427 · pith_short_12: TJ2OQCBJQLLW · pith_short_16: TJ2OQCBJQLLWOTXW · pith_short_8: TJ2OQCBJ

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/TJ2OQCBJQLLWOTXWAMB6OKEPMN \
  | 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: 9a74e8082982d7674ef60303e7288f634b8e26ecce27d2aa49f89fa67327eb75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3573835bfb0a7495c901e952d09798faa695a7eee61bb735d5ddfdc13817bbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-20T21:00:36Z",
    "title_canon_sha256": "54f9874622721cca4255f77eb2da34434195efd0cc3050c08ec6640405aa2289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05427",
    "kind": "arxiv",
    "version": 2
  }
}