Pith Number

pith:BX2QWICZ

pith:2013:BX2QWICZFLYX5E4JXV5BX6CMXS

not attested not anchored not stored refs pending

The Taylor expansion at past time-like infinity

Helmut Friedrich

arxiv:1306.5626 v1 · 2013-06-24 · 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{BX2QWICZFLYX5E4JXV5BX6CMXS}

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	2026-05-18T01:49:08.661568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0df50b20592af17e9389bd7a1bf84cbc9574609b92eba3d247d29bd976017940

Aliases

arxiv: 1306.5626 · arxiv_version: 1306.5626v1 · doi: 10.48550/arxiv.1306.5626 · pith_short_12: BX2QWICZFLYX · pith_short_16: BX2QWICZFLYX5E4J · pith_short_8: BX2QWICZ

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/BX2QWICZFLYX5E4JXV5BX6CMXS \
  | 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: 0df50b20592af17e9389bd7a1bf84cbc9574609b92eba3d247d29bd976017940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7aec8ee207bda40bb9be5f3e12e3192e65cae6c429eebf73546cb6a02cc0ed1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-06-24T13:37:58Z",
    "title_canon_sha256": "ecb9b7f6990f97f94abc06d1ea3b934877faba145ef9c5193daa79c09a14ed83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5626",
    "kind": "arxiv",
    "version": 1
  }
}