Pith Number

pith:4YTBGYMA

pith:2013:4YTBGYMAS5D7CDW4RRCVS5QUZH

not attested not anchored not stored refs pending

Fractional calculus modelling for unsteady unidirectional flow of incompressible fluids with time-dependent viscosity

Federico Polito, Roberto Garra

arxiv:1304.1057 v1 · 2013-03-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YTBGYMAS5D7CDW4RRCVS5QUZH}

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	2026-05-18T03:29:05.419197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6261361809747f10edc8c45597614c9f28e2a8e3278050ab5e854f87aaca7ea

Aliases

arxiv: 1304.1057 · arxiv_version: 1304.1057v1 · doi: 10.48550/arxiv.1304.1057 · pith_short_12: 4YTBGYMAS5D7 · pith_short_16: 4YTBGYMAS5D7CDW4 · pith_short_8: 4YTBGYMA

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/4YTBGYMAS5D7CDW4RRCVS5QUZH \
  | 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: e6261361809747f10edc8c45597614c9f28e2a8e3278050ab5e854f87aaca7ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8185911aff4315a74cd4f6a974f0372e9ba8e7b63e71d23810f329a8423e7378",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-26T22:20:25Z",
    "title_canon_sha256": "1931ddc6afaa6db0cf8b6b40e23806671930617483ef286cffcb3942feb00e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1057",
    "kind": "arxiv",
    "version": 1
  }
}