Pith Number

pith:JB75QOSK

pith:2000:JB75QOSKUM7HEUC2SBWNJBMR5K

not attested not anchored not stored refs pending

Trans-Planckian redshifts and the substance of the space-time river

Ted Jacobson

arxiv:hep-th/0001085 v2 · 2000-01-13 · hep-th · cond-mat · 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{JB75QOSKUM7HEUC2SBWNJBMR5K}

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	2026-07-04T15:23:13.471951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

487fd83a4aa33e72505a906cd48591ea8f189451b30c62a2fd00aa3f223b40e4

Aliases

arxiv: hep-th/0001085 · arxiv_version: hep-th/0001085v2 · doi: 10.48550/arxiv.hep-th/0001085 · pith_short_12: JB75QOSKUM7H · pith_short_16: JB75QOSKUM7HEUC2 · pith_short_8: JB75QOSK

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/JB75QOSKUM7HEUC2SBWNJBMR5K \
  | 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: 487fd83a4aa33e72505a906cd48591ea8f189451b30c62a2fd00aa3f223b40e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a87be65aa1eb6435ae0124d632b5d9acc207897722a35ad26a7add378c95d3a2",
    "cross_cats_sorted": [
      "cond-mat",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-01-13T23:55:48Z",
    "title_canon_sha256": "709c4e51299818a23b644c711869b72a7289c2c45998b8b07605b366582fb58a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0001085",
    "kind": "arxiv",
    "version": 2
  }
}