Pith Number

pith:P6VYA2ES

pith:2016:P6VYA2ESQ2A3X7U7O5SN35YO2L

not attested not anchored not stored refs pending

Scalable smoothing strategies for a geometric multigrid method for the immersed boundary equations

Amneet Pal Singh Bhalla, Boyce E. Griffith, Mark F. Adams, Matthew G. Knepley, Robert D. Guy

arxiv:1612.02208 v1 · 2016-12-07 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6VYA2ESQ2A3X7U7O5SN35YO2L}

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	2026-05-18T00:55:35.155806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fab8068928681bbfe9f7764ddf70ed2daf5243664f82834484de42ea40a155d

Aliases

arxiv: 1612.02208 · arxiv_version: 1612.02208v1 · doi: 10.48550/arxiv.1612.02208 · pith_short_12: P6VYA2ESQ2A3 · pith_short_16: P6VYA2ESQ2A3X7U7 · pith_short_8: P6VYA2ES

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/P6VYA2ESQ2A3X7U7O5SN35YO2L \
  | 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: 7fab8068928681bbfe9f7764ddf70ed2daf5243664f82834484de42ea40a155d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc3c66ea4a033002d8d1c3be9641de45cdc40f903232394c0e92622204068890",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-12-07T11:43:47Z",
    "title_canon_sha256": "89b692d85c4188fdba470fc52233088e163980d0d0e9cb8a57dfef3f06963acd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02208",
    "kind": "arxiv",
    "version": 1
  }
}