Pith Number

pith:YPAAZPVB

pith:2011:YPAAZPVBDC77UEFSVRHR7ZWYNG

not attested not anchored not stored refs pending

Time-asymmetry of probabilities versus relativistic causal structure: an arrow of time

Bob Coecke, Raymond Lal

arxiv:1108.1988 v2 · 2011-08-09 · gr-qc · quant-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{YPAAZPVBDC77UEFSVRHR7ZWYNG}

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	2026-05-18T02:51:48.796981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c00cbea118bffa10b2ac4f1fe6d869a3caa868f07ab143badd1fe77185c5ba

Aliases

arxiv: 1108.1988 · arxiv_version: 1108.1988v2 · doi: 10.48550/arxiv.1108.1988 · pith_short_12: YPAAZPVBDC77 · pith_short_16: YPAAZPVBDC77UEFS · pith_short_8: YPAAZPVB

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/YPAAZPVBDC77UEFSVRHR7ZWYNG \
  | 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: c3c00cbea118bffa10b2ac4f1fe6d869a3caa868f07ab143badd1fe77185c5ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b637c72a88d6013bb37f63e3a510cbc97477d49e2e332d2846abefc25a55de8",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-09T17:21:23Z",
    "title_canon_sha256": "d25d452708197e023a704d515c3bf1ed1517f0b73828cbef571ade321284dc21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1988",
    "kind": "arxiv",
    "version": 2
  }
}