Pith Number

pith:FIF6GLNG

pith:2021:FIF6GLNGNNQX3UV3MRDAPQXKFH

not attested not anchored not stored refs pending

Variable step-size BDF3 method for Allen-Cahn equation

Fan Yu, Minghua Chen, Qingdong Zhang, Zhimin Zhang

arxiv:2112.13613 v2 · 2021-12-27 · math.NA · cs.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{FIF6GLNGNNQX3UV3MRDAPQXKFH}

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	2026-07-05T06:24:08.735847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a0be32da66b617dd2bb644607c2ea29c90fc8d550249c21c5475f028d5c959f

Aliases

arxiv: 2112.13613 · arxiv_version: 2112.13613v2 · doi: 10.48550/arxiv.2112.13613 · pith_short_12: FIF6GLNGNNQX · pith_short_16: FIF6GLNGNNQX3UV3 · pith_short_8: FIF6GLNG

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/FIF6GLNGNNQX3UV3MRDAPQXKFH \
  | 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: 2a0be32da66b617dd2bb644607c2ea29c90fc8d550249c21c5475f028d5c959f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e6dceb18a871feed85ae523ad83dff783f4e647b928358a790876cf3c01f21",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-12-27T11:21:41Z",
    "title_canon_sha256": "946bcfae2eca1fbc7b8cfd1b7d2d7739c27ef771e7875cd3dc14566a677007f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.13613",
    "kind": "arxiv",
    "version": 2
  }
}