Pith Number

pith:ACKWI2GE

pith:2009:ACKWI2GEKWOOPXDU74FKQJ5HOV

not attested not anchored not stored refs pending

The Second Law and Cosmology

Max Tegmark (MIT)

arxiv:0904.3931 v1 · 2009-04-24 · physics.pop-ph · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACKWI2GEKWOOPXDU74FKQJ5HOV}

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	2026-05-18T01:33:49.522214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00956468c4559ce7dc74ff0aa827a7756eab2e7d7acba7c1598f8dc9b15dc843

Aliases

arxiv: 0904.3931 · arxiv_version: 0904.3931v1 · doi: 10.48550/arxiv.0904.3931 · pith_short_12: ACKWI2GEKWOO · pith_short_16: ACKWI2GEKWOOPXDU · pith_short_8: ACKWI2GE

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/ACKWI2GEKWOOPXDU74FKQJ5HOV \
  | 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: 00956468c4559ce7dc74ff0aa827a7756eab2e7d7acba7c1598f8dc9b15dc843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2325afdb3a36347f051329bdeba4c4090b98ff8be3dffdcc587a0be2c5f34206",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.pop-ph",
    "submitted_at": "2009-04-24T20:00:04Z",
    "title_canon_sha256": "e9d7652012ff3cd8cae4a1f7476298595f1ff8834a2f466338f053cd53cd990a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3931",
    "kind": "arxiv",
    "version": 1
  }
}