Pith Number

pith:65AE4GKF

pith:2015:65AE4GKFHI4BDUH5ITFZMQVY3O

not attested not anchored not stored refs pending

Lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space

Shyuichi Izumiya

arxiv:1510.06164 v1 · 2015-10-21 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65AE4GKFHI4BDUH5ITFZMQVY3O}

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	2026-05-18T01:24:51.438536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7404e19453a3811d0fd44cb9642b8dbabcdcba56b3853a791504cd9f9596690

Aliases

arxiv: 1510.06164 · arxiv_version: 1510.06164v1 · doi: 10.48550/arxiv.1510.06164 · pith_short_12: 65AE4GKFHI4B · pith_short_16: 65AE4GKFHI4BDUH5 · pith_short_8: 65AE4GKF

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/65AE4GKFHI4BDUH5ITFZMQVY3O \
  | 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: f7404e19453a3811d0fd44cb9642b8dbabcdcba56b3853a791504cd9f9596690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "556a430c4a3e4029307b23ceda693bcbc5495a3406e0a3f8a76f8f50557c0f49",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-21T08:26:04Z",
    "title_canon_sha256": "c888d2acd75fdd84e2764fc054d087c9c29f38ed5bf4dbf9ace263d012cf1c0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06164",
    "kind": "arxiv",
    "version": 1
  }
}