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Pith Number

pith:OE7KDZYJ

pith:2017:OE7KDZYJUCVG4HJQXNNCQ4KWQG
not attested not anchored not stored refs pending

Geometry of Asymptotically harmonic manifolds with minimal horospheres

Hemangi Shah

arxiv:1703.00341 v3 · 2017-03-01 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OE7KDZYJUCVG4HJQXNNCQ4KWQG}

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 2026-05-18T00:23:09.139851Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

713ea1e709a0aa6e1d30bb5a2871568191a9fa15d90ea87eee51501f68610fed

Aliases

arxiv: 1703.00341 · arxiv_version: 1703.00341v3 · doi: 10.48550/arxiv.1703.00341 · pith_short_12: OE7KDZYJUCVG · pith_short_16: OE7KDZYJUCVG4HJQ · pith_short_8: OE7KDZYJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OE7KDZYJUCVG4HJQXNNCQ4KWQG \
  | 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: 713ea1e709a0aa6e1d30bb5a2871568191a9fa15d90ea87eee51501f68610fed
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4a0c0778aede8ec7f6c92bd9eb526ee6ba9e5083beff88cfea94afc5ee0547da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-03-01T15:20:49Z",
    "title_canon_sha256": "331d3c65207821e89fce3ffd0fbb451421b3858a4c02866a0dbec7a820837009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00341",
    "kind": "arxiv",
    "version": 3
  }
}