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Pith Number

pith:HGHPWOFW

pith:2016:HGHPWOFWQWWSUDVWVC5EBDKDGR
not attested not anchored not stored refs pending

Automorphic cohomology, motivic cohomology, and the adjoint $L$-function

Akshay Venkatesh, Kartik Prasanna

arxiv:1609.06370 v2 · 2016-09-20 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HGHPWOFWQWWSUDVWVC5EBDKDGR}

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 2026-05-18T00:52:55.118005Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

398efb38b685ad2a0eb6a8ba408d43346134836b8e09e9ec5bd572edea3e0909

Aliases

arxiv: 1609.06370 · arxiv_version: 1609.06370v2 · doi: 10.48550/arxiv.1609.06370 · pith_short_12: HGHPWOFWQWWS · pith_short_16: HGHPWOFWQWWSUDVW · pith_short_8: HGHPWOFW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HGHPWOFWQWWSUDVWVC5EBDKDGR \
  | 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: 398efb38b685ad2a0eb6a8ba408d43346134836b8e09e9ec5bd572edea3e0909
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c236583c20bdf3de46fa55073726174832570dcb4c8d1c861312ff6a03fbd851",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-20T22:04:13Z",
    "title_canon_sha256": "f0c237f29ed5ab8bef183bb1a3b4b3657457ecc4c40d81ff02405f173676f88d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06370",
    "kind": "arxiv",
    "version": 2
  }
}