Pith Number

pith:PPOUSQD4

pith:2017:PPOUSQD4YIS4DQ5RTJ5TGGFVFT

not attested not anchored not stored refs pending

Defective dual varieties for real spectra

Jens Forsg{\aa}rd

arxiv:1710.02434 v1 · 2017-10-06 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPOUSQD4YIS4DQ5RTJ5TGGFVFT}

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	2026-05-18T00:33:33.427429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bdd49407cc225c1c3b19a7b3318b52cf5243067294e21774cf7b69c477e3fa7

Aliases

arxiv: 1710.02434 · arxiv_version: 1710.02434v1 · doi: 10.48550/arxiv.1710.02434 · pith_short_12: PPOUSQD4YIS4 · pith_short_16: PPOUSQD4YIS4DQ5R · pith_short_8: PPOUSQD4

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/PPOUSQD4YIS4DQ5RTJ5TGGFVFT \
  | 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: 7bdd49407cc225c1c3b19a7b3318b52cf5243067294e21774cf7b69c477e3fa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ba70f9734d6c918b4d2fc326d8d032c4a99079db9a9230eea40cec4e1edfe41",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-06T14:45:23Z",
    "title_canon_sha256": "c10a57568233ac01fb22cdfc9878ae2aa1ad7e646bd36349785327c4dbc7d5d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02434",
    "kind": "arxiv",
    "version": 1
  }
}