Pith Number

pith:AFUN7OLH

pith:2012:AFUN7OLHJC6MGQKV4FSSZVFQDK

not attested not anchored not stored refs pending

A proof of the parabolic Schauder estimates using Trudinger's method and the mean value property of the heat equation

Charles Baker

arxiv:1204.0882 v1 · 2012-04-04 · 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{AFUN7OLHJC6MGQKV4FSSZVFQDK}

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	2026-05-18T03:58:37.556443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0168dfb96748bcc34155e1652cd4b01ab7d814ad440f35db76db000298862569

Aliases

arxiv: 1204.0882 · arxiv_version: 1204.0882v1 · doi: 10.48550/arxiv.1204.0882 · pith_short_12: AFUN7OLHJC6M · pith_short_16: AFUN7OLHJC6MGQKV · pith_short_8: AFUN7OLH

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/AFUN7OLHJC6MGQKV4FSSZVFQDK \
  | 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: 0168dfb96748bcc34155e1652cd4b01ab7d814ad440f35db76db000298862569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa625bc0774541f1cfd780c4babc77961509dfa2c6869f4eed5137c8819c696",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-04T07:52:20Z",
    "title_canon_sha256": "61d770fac7529a4b2c143d8b5b68a26dac05b1bf1d0b00cd0999c2cb03fe00aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0882",
    "kind": "arxiv",
    "version": 1
  }
}