Pith Number

pith:T5F4MKD4

pith:2016:T5F4MKD4MWHHX5K4VRTPZHJ3BX

not attested not anchored not stored refs pending

An ultraweak DPG method for viscoelastic fluids

Brendan Keith, Leszek Demkowicz, Marek Behr, Nathan V. Roberts, Philipp Knechtges, Stefanie Elgeti

arxiv:1612.03124 v2 · 2016-12-09 · math.NA · cs.NA · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5F4MKD4MWHHX5K4VRTPZHJ3BX}

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	2026-06-04T18:10:20.089073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f4bc6287c658e7bf55cac66fc9d3b0ddf0d531761e5326411be2a80545896e3

Aliases

arxiv: 1612.03124 · arxiv_version: 1612.03124v2 · doi: 10.48550/arxiv.1612.03124 · pith_short_12: T5F4MKD4MWHH · pith_short_16: T5F4MKD4MWHHX5K4 · pith_short_8: T5F4MKD4

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/T5F4MKD4MWHHX5K4VRTPZHJ3BX \
  | 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: 9f4bc6287c658e7bf55cac66fc9d3b0ddf0d531761e5326411be2a80545896e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db8d7e47e5b33fa10746c42f633df6d062ad1db57fd775662c845c0e7766516c",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-12-09T18:45:19Z",
    "title_canon_sha256": "48a19bb70519999ebe6439af10e928cef136f3119b20160c3ddb9b9c740ddaa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03124",
    "kind": "arxiv",
    "version": 2
  }
}