Pith Number

pith:PZLPIOK7

pith:2013:PZLPIOK77U2CE4Y4EV4PLWCA5X

not attested not anchored not stored refs pending

Compatibility of Kisin modules for different uniformizers

Tong Liu

arxiv:1302.1888 v1 · 2013-02-07 · 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{PZLPIOK77U2CE4Y4EV4PLWCA5X}

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	2026-05-18T03:34:13.463389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e56f4395ffd3422731c2578f5d840edf054e114f872fb67f5e5a244c17c31b6

Aliases

arxiv: 1302.1888 · arxiv_version: 1302.1888v1 · doi: 10.48550/arxiv.1302.1888 · pith_short_12: PZLPIOK77U2C · pith_short_16: PZLPIOK77U2CE4Y4 · pith_short_8: PZLPIOK7

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/PZLPIOK77U2CE4Y4EV4PLWCA5X \
  | 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: 7e56f4395ffd3422731c2578f5d840edf054e114f872fb67f5e5a244c17c31b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a74161acbd8cc16404761eb9a56602c4477b7be60ea6f702855e08c646efb3c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-07T21:39:16Z",
    "title_canon_sha256": "6feb314cf74ae4648d670c9ca4272c846257f5fd64f5c4b0b9a2c4c07a1d814d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1888",
    "kind": "arxiv",
    "version": 1
  }
}