Pith Number

pith:QESNDS4P

pith:2013:QESNDS4PRCDSFVXECJ3AB54NNR

not attested not anchored not stored refs pending

Characteristic classes of affine varieties and Plucker formulas for affine morphisms

Alexander Esterov

arxiv:1305.3234 v7 · 2013-05-14 · 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{QESNDS4PRCDSFVXECJ3AB54NNR}

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.

Cited by

1 paper in Pith

Semi-interlaced polytopes

Receipt and verification

First computed	2026-05-18T00:24:40.253403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8124d1cb8f888722d6e4127600f78d6c549d68a2515c86326eea7cbe95896684

Aliases

arxiv: 1305.3234 · arxiv_version: 1305.3234v7 · doi: 10.48550/arxiv.1305.3234 · pith_short_12: QESNDS4PRCDS · pith_short_16: QESNDS4PRCDSFVXE · pith_short_8: QESNDS4P

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/QESNDS4PRCDSFVXECJ3AB54NNR \
  | 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: 8124d1cb8f888722d6e4127600f78d6c549d68a2515c86326eea7cbe95896684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4e54be302c85104ac53ce428eac75eebdc3d2bbcca9f04c8e01dab81cee2fb4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-14T18:14:36Z",
    "title_canon_sha256": "8a5e89ddd2135fca1abcc3979b26ab1a50f7e933224ed3e32f8f17dd6537790c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3234",
    "kind": "arxiv",
    "version": 7
  }
}