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Pith Number

pith:URSECDYU

pith:2013:URSECDYU4VJ6EDJ37QSIM6MTRC
not attested not anchored not stored refs pending

Relative p-adic Hodge theory, II: (phi, Gamma)-modules

Kiran S. Kedlaya, Ruochuan Liu

arxiv:1301.0795 v2 · 2013-01-04 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{URSECDYU4VJ6EDJ37QSIM6MTRC}

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 2026-05-18T01:20:22.498615Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a464410f14e553e20d3bfc2486799388a5766e8e02989e18562f13e95f635c5c

Aliases

arxiv: 1301.0795 · arxiv_version: 1301.0795v2 · doi: 10.48550/arxiv.1301.0795 · pith_short_12: URSECDYU4VJ6 · pith_short_16: URSECDYU4VJ6EDJ3 · pith_short_8: URSECDYU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/URSECDYU4VJ6EDJ37QSIM6MTRC \
  | 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: a464410f14e553e20d3bfc2486799388a5766e8e02989e18562f13e95f635c5c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "beadef78e05671386507cf2ee5aebb19ce556b20511bcc2cba8eaa6ab8bf5a7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-04T18:27:24Z",
    "title_canon_sha256": "040c6b68d2ff6775020f9e5a8d4825f77fe9345a9d733d886e3a348d22b8394c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0795",
    "kind": "arxiv",
    "version": 2
  }
}