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Pith Number

pith:7TTMIKEW

pith:2013:7TTMIKEW6AHO5EYJF4D4W6YTKZ
not attested not anchored not stored refs pending

The geometry of lightlike surfaces in Minkowski space

Brian Carlsen, Jeanne N. Clelland

arxiv:1302.7015 v1 · 2013-02-27 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7TTMIKEW6AHO5EYJF4D4W6YTKZ}

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 2026-05-18T01:51:26.387450Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fce6c42896f00eee93092f07cb7b1356424981e3e5183b686abfe9c197d546bb

Aliases

arxiv: 1302.7015 · arxiv_version: 1302.7015v1 · doi: 10.48550/arxiv.1302.7015 · pith_short_12: 7TTMIKEW6AHO · pith_short_16: 7TTMIKEW6AHO5EYJ · pith_short_8: 7TTMIKEW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7TTMIKEW6AHO5EYJF4D4W6YTKZ \
  | 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: fce6c42896f00eee93092f07cb7b1356424981e3e5183b686abfe9c197d546bb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a6f8bff4745aeb4823238ffde436de17765bbf7ffa378e558a8810199a695441",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-27T22:05:30Z",
    "title_canon_sha256": "c89496daafb0884668253d7dde621b79d27f1bcc02d7f85971be10141eb30ef3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7015",
    "kind": "arxiv",
    "version": 1
  }
}