Pith Number

pith:47YV5Z2B

pith:2012:47YV5Z2BQPBLIPXXM7OJ2C46LB

not attested not anchored not stored refs pending

Finite-time future singularities models in $f(T)$ gravity and the effects of viscosity

M. J. S. Houndjo, M. R. Setare

arxiv:1203.1315 v3 · 2012-03-06 · 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{47YV5Z2BQPBLIPXXM7OJ2C46LB}

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	2026-05-18T03:30:02.939204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7f15ee74183c2b43ef767dc9d0b9e5867ac7bf55f3f68e49cc6b98bb728b7cb

Aliases

arxiv: 1203.1315 · arxiv_version: 1203.1315v3 · doi: 10.48550/arxiv.1203.1315 · pith_short_12: 47YV5Z2BQPBL · pith_short_16: 47YV5Z2BQPBLIPXX · pith_short_8: 47YV5Z2B

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/47YV5Z2BQPBLIPXXM7OJ2C46LB \
  | 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: e7f15ee74183c2b43ef767dc9d0b9e5867ac7bf55f3f68e49cc6b98bb728b7cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86b1b29175034f3a373831f4772ae23e2b7b67ed0eb6418712426a94b618593",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-03-06T20:49:30Z",
    "title_canon_sha256": "6e94ea90e870d74fa9954a774964b37b06768b504410e5fa13a13de6c7a9e51d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1315",
    "kind": "arxiv",
    "version": 3
  }
}