Pith Number

pith:T4LJZYKO

pith:2013:T4LJZYKOCEAUTN3IFZLHVGWQ3C

not attested not anchored not stored refs pending

Marginally trapped surfaces in spaces of oriented geodesics

Brendan Guilfoyle, Nikos Georgiou

arxiv:1305.6600 v1 · 2013-05-28 · math.DG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4LJZYKOCEAUTN3IFZLHVGWQ3C}

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	2026-05-18T00:29:21.539608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f169ce14e110149b7682e567a9ad0d8a6bfb31547a95fca926aba942264dcdc

Aliases

arxiv: 1305.6600 · arxiv_version: 1305.6600v1 · doi: 10.48550/arxiv.1305.6600 · pith_short_12: T4LJZYKOCEAU · pith_short_16: T4LJZYKOCEAUTN3I · pith_short_8: T4LJZYKO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/T4LJZYKOCEAUTN3IFZLHVGWQ3C \
  | 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: 9f169ce14e110149b7682e567a9ad0d8a6bfb31547a95fca926aba942264dcdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a2f8bd272948365b561483c37aa7f35a0b1c34325ec30cca7e43a7256d199d7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-28T19:25:21Z",
    "title_canon_sha256": "b90864c31e1c78c9172d6f15432ebf7f5de6542da8a9c8ed78ebde7f704f7bd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6600",
    "kind": "arxiv",
    "version": 1
  }
}