Pith Number

pith:ETAILDQ7

pith:2010:ETAILDQ7PLIZBANBF265Q3UGWD

not attested not anchored not stored refs pending

On unit root formulas for toric exponential sums

Alan Adolphson, Steven Sperber

arxiv:1012.1637 v1 · 2010-12-07 · 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{ETAILDQ7PLIZBANBF265Q3UGWD}

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	2026-05-18T04:33:51.621389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24c0858e1f7ad19081a12ebdd86e86b0c43ea09f2e65d6258f2eb319acc8d14f

Aliases

arxiv: 1012.1637 · arxiv_version: 1012.1637v1 · doi: 10.48550/arxiv.1012.1637 · pith_short_12: ETAILDQ7PLIZ · pith_short_16: ETAILDQ7PLIZBANB · pith_short_8: ETAILDQ7

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/ETAILDQ7PLIZBANBF265Q3UGWD \
  | 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: 24c0858e1f7ad19081a12ebdd86e86b0c43ea09f2e65d6258f2eb319acc8d14f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878da461b5ea5be69eb36bb8df96b3725f32da0a18fe0f56895aaead597cba54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-07T23:12:30Z",
    "title_canon_sha256": "8059a788ef671bf6dba0ac09014b48c9f6ebfa1f148170569068c7fd2a4e2d8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1637",
    "kind": "arxiv",
    "version": 1
  }
}