Pith Number

pith:5D6IYI2B

pith:2012:5D6IYI2B5ONOVSTRNSYFR22ERY

not attested not anchored not stored refs pending

Existence of solutions for dynamic inclusions on time scales via duality

Delfim F. M. Torres, Ewa Girejko

arxiv:1201.4495 v1 · 2012-01-21 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5D6IYI2B5ONOVSTRNSYFR22ERY}

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	2026-05-18T03:50:35.416100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8fc8c2341eb9aeaca716cb058eb448e0720622aad207f3233dd2ef5ca043793

Aliases

arxiv: 1201.4495 · arxiv_version: 1201.4495v1 · doi: 10.48550/arxiv.1201.4495 · pith_short_12: 5D6IYI2B5ONO · pith_short_16: 5D6IYI2B5ONOVSTR · pith_short_8: 5D6IYI2B

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/5D6IYI2B5ONOVSTRNSYFR22ERY \
  | 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: e8fc8c2341eb9aeaca716cb058eb448e0720622aad207f3233dd2ef5ca043793

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cc0cfcd5678d03efffe183a2182ffe9ca2af3328b22486b7c48b3ec3565bcf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-01-21T17:50:44Z",
    "title_canon_sha256": "0a822d61608e0973d9fa990d6bcdac4b18e4fe2ec511488064f54f9bab856f2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4495",
    "kind": "arxiv",
    "version": 1
  }
}