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Pith Number

pith:ZGRTXVQA

pith:2016:ZGRTXVQA6BUURFT3HOAMKKM5ST
not attested not anchored not stored refs pending

Asymptotical flatness and cone structure at infinity

Anton Petrunin, Wilderich Tuschmann

arxiv:1607.06257 v1 · 2016-07-21 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZGRTXVQA6BUURFT3HOAMKKM5ST}

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 2026-05-18T01:10:42.139653Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c9a33bd600f06948967b3b80c5299d94e2339170c619fecadfebe29dcd85bf2f

Aliases

arxiv: 1607.06257 · arxiv_version: 1607.06257v1 · doi: 10.48550/arxiv.1607.06257 · pith_short_12: ZGRTXVQA6BUU · pith_short_16: ZGRTXVQA6BUURFT3 · pith_short_8: ZGRTXVQA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZGRTXVQA6BUURFT3HOAMKKM5ST \
  | 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: c9a33bd600f06948967b3b80c5299d94e2339170c619fecadfebe29dcd85bf2f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5f3b10a535f912e49b589b3a5eac702afd6c556253d62540a95a8bbee94d2239",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-21T10:44:49Z",
    "title_canon_sha256": "044255014180684a3a09956196f796cec8079705d581d331f27ce3c5782a1f5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06257",
    "kind": "arxiv",
    "version": 1
  }
}