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Pith Number

pith:WPOLFQFF

pith:2016:WPOLFQFFM6T2JUB24VKRXPLRW2
not attested not anchored not stored refs pending

Relative p-adic Hodge theory, II: Imperfect period rings

Kiran S. Kedlaya, Ruochuan Liu

arxiv:1602.06899 v3 · 2016-02-22 · math.NT · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WPOLFQFFM6T2JUB24VKRXPLRW2}

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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

7 papers in Pith

Receipt and verification
First computed 2026-07-05T00:13:27.920850Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b3dcb2c0a567a7a4d03ae5551bbd71b6b06565eb454092f65cc88864d2d7006a

Aliases

arxiv: 1602.06899 · arxiv_version: 1602.06899v3 · doi: 10.48550/arxiv.1602.06899 · pith_short_12: WPOLFQFFM6T2 · pith_short_16: WPOLFQFFM6T2JUB2 · pith_short_8: WPOLFQFF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WPOLFQFFM6T2JUB24VKRXPLRW2 \
  | 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: b3dcb2c0a567a7a4d03ae5551bbd71b6b06565eb454092f65cc88864d2d7006a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e6fcd069c528e2148eb6a41d021a6595f057232aabbaba1c1bc97a3967a49f5a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-22T19:26:50Z",
    "title_canon_sha256": "a183bcec43e1a81ddc2ec543084400697dfacffd98e6fbc6487a8c717aac6bfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06899",
    "kind": "arxiv",
    "version": 3
  }
}