Pith Number

pith:UDYT3KT5

pith:2016:UDYT3KT5KV36VMAPCL2WZZSVTA

not attested not anchored not stored refs pending

Local Euler obstructions of toric varieties

Bernt Ivar Utst{\o}l N{\o}dland

arxiv:1610.02430 v3 · 2016-10-07 · 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{UDYT3KT5KV36VMAPCL2WZZSVTA}

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	2026-05-18T00:31:13.811597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0f13daa7d5577eab00f12f56ce655981b6b4bd5b63fe64948fbf31c69f91eaa

Aliases

arxiv: 1610.02430 · arxiv_version: 1610.02430v3 · doi: 10.48550/arxiv.1610.02430 · pith_short_12: UDYT3KT5KV36 · pith_short_16: UDYT3KT5KV36VMAP · pith_short_8: UDYT3KT5

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/UDYT3KT5KV36VMAPCL2WZZSVTA \
  | 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: a0f13daa7d5577eab00f12f56ce655981b6b4bd5b63fe64948fbf31c69f91eaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3860beba621e7b3ed8a035ec2b4dec03c936f83a6c73dfc9383e0dbcc4493624",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-07T21:34:21Z",
    "title_canon_sha256": "57d31d63597db5bc5f6fde085bad53da08461d5d3fade848348fd56b58a21849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02430",
    "kind": "arxiv",
    "version": 3
  }
}