Pith Number

pith:YICH5FSY

pith:2012:YICH5FSYE5DVHGLWMAEAYSCCSF

not attested not anchored not stored refs pending

Global existence and decay for solutions of the Hele-Shaw flow with injection

C.H. Arthur Cheng, Daniel Coutand, Steve Shkoller

arxiv:1208.6213 v1 · 2012-08-30 · 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{YICH5FSYE5DVHGLWMAEAYSCCSF}

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	2026-05-18T03:46:46.165280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2047e9658274753997660080c484291536f62eb3cdbb7c6f27ac8ec43c80b3a

Aliases

arxiv: 1208.6213 · arxiv_version: 1208.6213v1 · doi: 10.48550/arxiv.1208.6213 · pith_short_12: YICH5FSYE5DV · pith_short_16: YICH5FSYE5DVHGLW · pith_short_8: YICH5FSY

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/YICH5FSYE5DVHGLWMAEAYSCCSF \
  | 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: c2047e9658274753997660080c484291536f62eb3cdbb7c6f27ac8ec43c80b3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "207c59f826668fb9dda57bb44e4f08af8df6b13faa32d75d445f842a8da70c8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-30T15:47:53Z",
    "title_canon_sha256": "d9c77c83628dbf254f624d405349ee8f639b210459b9ebb88d3586b5de3324fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6213",
    "kind": "arxiv",
    "version": 1
  }
}