Pith Number

pith:BVBM5XUM

pith:2010:BVBM5XUMRANZNTGTH7QY7LMVAW

not attested not anchored not stored refs pending

Conceptual Problems Related to Time and Mass in Quantum Theory

Daniel M. Greenberger

arxiv:1011.3709 v1 · 2010-11-16 · quant-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVBM5XUMRANZNTGTH7QY7LMVAW}

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	2026-05-18T04:35:48.249475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d42cede8c881b96ccd33fe18fad9505bb2878338f498519c52786140e78a2e2

Aliases

arxiv: 1011.3709 · arxiv_version: 1011.3709v1 · doi: 10.48550/arxiv.1011.3709 · pith_short_12: BVBM5XUMRANZ · pith_short_16: BVBM5XUMRANZNTGT · pith_short_8: BVBM5XUM

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/BVBM5XUMRANZNTGTH7QY7LMVAW \
  | 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: 0d42cede8c881b96ccd33fe18fad9505bb2878338f498519c52786140e78a2e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9fc8dcfa9615d158fa620c789bc60f8fadd2f3c0f5055c03a6cf81635831847",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-11-16T14:43:20Z",
    "title_canon_sha256": "f5d534828a1f672d22b4355d7dbd368f1188d3e8692b6bb213e96646c2c88e77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3709",
    "kind": "arxiv",
    "version": 1
  }
}