Pith Number

pith:Q3YO7DIM

pith:2021:Q3YO7DIMQRCBNREZS3ZPD5JCQO

not attested not anchored not stored refs pending

Sharp convergence to steady states of Allen-Cahn

Chaoyu Quan, Dong Li, Tao Tang, Wen Yang

arxiv:2106.08534 v1 · 2021-06-16 · math.AP · cs.NA · 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{Q3YO7DIMQRCBNREZS3ZPD5JCQO}

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	2026-07-05T02:49:58.951749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86f0ef8d0c844416c49996f2f1f52283a00ef1549740560606a592e39f462f68

Aliases

arxiv: 2106.08534 · arxiv_version: 2106.08534v1 · doi: 10.48550/arxiv.2106.08534 · pith_short_12: Q3YO7DIMQRCB · pith_short_16: Q3YO7DIMQRCBNREZ · pith_short_8: Q3YO7DIM

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/Q3YO7DIMQRCBNREZS3ZPD5JCQO \
  | 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: 86f0ef8d0c844416c49996f2f1f52283a00ef1549740560606a592e39f462f68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24dc8cc741b81ab7c479fa4b4bc198b6ebfd4f05df88011b490b6b8aeb716806",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-06-16T03:18:27Z",
    "title_canon_sha256": "4e7051834e9ed773767322fd9ba25a137217cfeaa2c0f2e5c9fc87b3e7ce5a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.08534",
    "kind": "arxiv",
    "version": 1
  }
}