Pith Number

pith:WWCIDNG6

pith:2015:WWCIDNG6PJWLW3MB6TOMHNXB7Z

not attested not anchored not stored refs pending

Primitive elements in $p$-divisible groups

Preston Wake, Robert Kottwitz

arxiv:1510.02814 v2 · 2015-10-09 · math.NT · 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{WWCIDNG6PJWLW3MB6TOMHNXB7Z}

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	2026-05-18T00:42:51.927412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b58481b4de7a6cbb6d81f4dcc3b6e1fe51abd772d4db36cf575fc1af759d65ca

Aliases

arxiv: 1510.02814 · arxiv_version: 1510.02814v2 · doi: 10.48550/arxiv.1510.02814 · pith_short_12: WWCIDNG6PJWL · pith_short_16: WWCIDNG6PJWLW3MB · pith_short_8: WWCIDNG6

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/WWCIDNG6PJWLW3MB6TOMHNXB7Z \
  | 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: b58481b4de7a6cbb6d81f4dcc3b6e1fe51abd772d4db36cf575fc1af759d65ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40fc30f725d1fc988711c51ab8e52b2228366fb3c034ebb6bfcfc7819843077d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-09T20:28:27Z",
    "title_canon_sha256": "ab077f0f82f631f8cd17af41a1b2ef4db31101ea1b4a80604397c089fa49e7de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02814",
    "kind": "arxiv",
    "version": 2
  }
}