Pith Number

pith:W4JGTKFQ

pith:2015:W4JGTKFQ2MC7N72CYT3HG5AAPT

not attested not anchored not stored refs pending

Internal circle uplifts, transversality and stratified G-structures

Calin Iuliu Lazaroiu, Elena Mirela Babalic

arxiv:1505.05238 v1 · 2015-05-20 · hep-th · 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{W4JGTKFQ2MC7N72CYT3HG5AAPT}

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	2026-05-18T01:25:47.035595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b71269a8b0d305f6ff42c4f67374007cdd1e889165ec3b84819e49666385bb4a

Aliases

arxiv: 1505.05238 · arxiv_version: 1505.05238v1 · doi: 10.48550/arxiv.1505.05238 · pith_short_12: W4JGTKFQ2MC7 · pith_short_16: W4JGTKFQ2MC7N72C · pith_short_8: W4JGTKFQ

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/W4JGTKFQ2MC7N72CYT3HG5AAPT \
  | 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: b71269a8b0d305f6ff42c4f67374007cdd1e889165ec3b84819e49666385bb4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f7d3480fe93d9e05effa55962084dfad998da7789f0b6f9a16f9eca8e9efd3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-05-20T03:41:36Z",
    "title_canon_sha256": "97ef206fe1073963ad1c99dca70213ca725d6647464941ec2a48417724e62a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05238",
    "kind": "arxiv",
    "version": 1
  }
}