Pith Number

pith:HS3EPVQH

pith:1999:HS3EPVQH6OOVICGEJXO6LVLFT6

not attested not anchored not stored refs pending

Exponential sums on A^n, II

Alan Adolphson, Steven Sperber

arxiv:math/9909009 v1 · 1999-09-01 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HS3EPVQH6OOVICGEJXO6LVLFT6}

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

2 papers in Pith

Beyond Algebraic Solutions to Stringy Spacetime

Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces

Receipt and verification

First computed	2026-07-04T14:41:17.787559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cb647d607f39d5408c44ddde5d5659f8dcf9950e8f5f29700b59e191d16530b

Aliases

arxiv: math/9909009 · arxiv_version: math/9909009v1 · doi: 10.48550/arxiv.math/9909009 · pith_short_12: HS3EPVQH6OOV · pith_short_16: HS3EPVQH6OOVICGE · pith_short_8: HS3EPVQH

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/HS3EPVQH6OOVICGEJXO6LVLFT6 \
  | 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: 3cb647d607f39d5408c44ddde5d5659f8dcf9950e8f5f29700b59e191d16530b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f9006ff42b8eede09cc689be972e229225b017ef8a621ac7b81c1e8130f89d0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-09-01T21:08:22Z",
    "title_canon_sha256": "1c583b5de26e11f22a42eaf337f1717a3ad228263c845e19b1348573b897f182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9909009",
    "kind": "arxiv",
    "version": 1
  }
}