Pith Number

pith:EDSXJBOK

pith:1999:EDSXJBOK6WK5ZXRIGFKNQT6JYI

not attested not anchored not stored refs pending

Large character sums

Andrew Granville (University of Georgia), K. Soundararajan (AIM, Princeton University)

arxiv:math/9903196 v1 · 1999-03-23 · 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{EDSXJBOK6WK5ZXRIGFKNQT6JYI}

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	2026-05-18T01:05:33.202889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20e57485caf595dcde283154d84fc9c218c7c7cc15d885afee884bd82fbbfcb7

Aliases

arxiv: math/9903196 · arxiv_version: math/9903196v1 · doi: 10.48550/arxiv.math/9903196 · pith_short_12: EDSXJBOK6WK5 · pith_short_16: EDSXJBOK6WK5ZXRI · pith_short_8: EDSXJBOK

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/EDSXJBOK6WK5ZXRIGFKNQT6JYI \
  | 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: 20e57485caf595dcde283154d84fc9c218c7c7cc15d885afee884bd82fbbfcb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae71f847e562bafb0482f51d193d45b91ea0d4c5c7fb61d8785ccad2e7b6b1d6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1999-03-23T00:00:00Z",
    "title_canon_sha256": "9e22c2c927001a1bb67dbcdc1a1f4f22e187e3a4b2c136b19d7e49a099de508c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9903196",
    "kind": "arxiv",
    "version": 1
  }
}