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Pith Number

pith:P22STKJR

pith:2014:P22STKJRKZ2ZBAJOW6VDOUD7KS
not attested not anchored not stored refs pending

Direction problems in affine spaces

Jan De Beule

arxiv:1409.6960 v1 · 2014-09-24 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P22STKJRKZ2ZBAJOW6VDOUD7KS}

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 2026-05-18T02:42:00.142101Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7eb529a931567590812eb7aa37507f54bc5e7f3b7eb90132816af7ae4b090122

Aliases

arxiv: 1409.6960 · arxiv_version: 1409.6960v1 · doi: 10.48550/arxiv.1409.6960 · pith_short_12: P22STKJRKZ2Z · pith_short_16: P22STKJRKZ2ZBAJO · pith_short_8: P22STKJR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P22STKJRKZ2ZBAJOW6VDOUD7KS \
  | 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: 7eb529a931567590812eb7aa37507f54bc5e7f3b7eb90132816af7ae4b090122
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1dec63a9d2ee221df31e2dadb9ea9e8b539386dcc47b0f18120dd82ae87feb79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-24T13:45:50Z",
    "title_canon_sha256": "a92c19429579d9dad3976e4565c006870d44a3fb56024eea6f3322c2fb3dfc5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6960",
    "kind": "arxiv",
    "version": 1
  }
}