Pith Number

pith:ULYYWG2O

pith:2016:ULYYWG2ONVXGFLQE55YCTDSLUP

not attested not anchored not stored refs pending

Hypersurfaces with defect

Niels Lindner

arxiv:1610.04077 v1 · 2016-10-13 · 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{ULYYWG2ONVXGFLQE55YCTDSLUP}

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	2026-05-18T01:02:22.428762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2f18b1b4e6d6e62ae04ef70298e4ba3f3b217b07d333091cde90ec05fa89423

Aliases

arxiv: 1610.04077 · arxiv_version: 1610.04077v1 · doi: 10.48550/arxiv.1610.04077 · pith_short_12: ULYYWG2ONVXG · pith_short_16: ULYYWG2ONVXGFLQE · pith_short_8: ULYYWG2O

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/ULYYWG2ONVXGFLQE55YCTDSLUP \
  | 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: a2f18b1b4e6d6e62ae04ef70298e4ba3f3b217b07d333091cde90ec05fa89423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a958c2137cbbdcb54f3104f7f9ff5f6990bd39d49412d3891616855ee876c4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-13T13:54:47Z",
    "title_canon_sha256": "e9d260cd2be3782e63bdbaff146403f7d26db020e82e298eb2091c83a7171c96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04077",
    "kind": "arxiv",
    "version": 1
  }
}