Pith Number

pith:3LD2S7AQ

pith:2010:3LD2S7AQWX2Y2XMVBML3VXL4FO

not attested not anchored not stored refs pending

Lectures on Constrained Systems

Ghanashyam Date

arxiv:1010.2062 v1 · 2010-10-11 · gr-qc · hep-th · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LD2S7AQWX2Y2XMVBML3VXL4FO}

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.

Cited by

1 paper in Pith

Canonical quantization of massive vector field in Schwarzschild black hole background

Receipt and verification

First computed	2026-05-18T04:39:29.782344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac7a97c10b5f58d5d950b17badd7c2bbf196bab62056b68a8834d1eb89db9cf

Aliases

arxiv: 1010.2062 · arxiv_version: 1010.2062v1 · doi: 10.48550/arxiv.1010.2062 · pith_short_12: 3LD2S7AQWX2Y · pith_short_16: 3LD2S7AQWX2Y2XMV · pith_short_8: 3LD2S7AQ

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/3LD2S7AQWX2Y2XMVBML3VXL4FO \
  | 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: dac7a97c10b5f58d5d950b17badd7c2bbf196bab62056b68a8834d1eb89db9cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64ee14a7cc7229b72ab2f60b2601424dbd5393f6fc04c1bd45e99053c6822abc",
    "cross_cats_sorted": [
      "hep-th",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-11T11:04:39Z",
    "title_canon_sha256": "647d0bc95c16e6c68657fc7857262c0eac87ad7109f9ce1c47043b4d34bad63d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2062",
    "kind": "arxiv",
    "version": 1
  }
}