Pith Number

pith:NCY54VWO

pith:2013:NCY54VWOVXVUIVTSJGIMR5UM6X

not attested not anchored not stored refs pending

On light-like extremal surfaces in curved spacetimes

Chun-Lei He, Shou-Jun Huang

arxiv:1305.0901 v1 · 2013-05-04 · math.DG · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCY54VWOVXVUIVTSJGIMR5UM6X}

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	2026-05-18T01:50:12.314209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b1de56ceadeb4456724990c8f68cf5c02bab0e09d55c9a52c6537baa62b52f

Aliases

arxiv: 1305.0901 · arxiv_version: 1305.0901v1 · doi: 10.48550/arxiv.1305.0901 · pith_short_12: NCY54VWOVXVU · pith_short_16: NCY54VWOVXVUIVTS · pith_short_8: NCY54VWO

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/NCY54VWOVXVUIVTSJGIMR5UM6X \
  | 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: 68b1de56ceadeb4456724990c8f68cf5c02bab0e09d55c9a52c6537baa62b52f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e1254e5b4f64e9e8ec0decd65b7770621de7e14d42e746cfdd53efd00fb82c6",
    "cross_cats_sorted": [
      "gr-qc",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-04T09:39:21Z",
    "title_canon_sha256": "f89a469745a0f98a4d0c77366bda69b3782997b2b79de7c94730c6c275f163d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0901",
    "kind": "arxiv",
    "version": 1
  }
}