Pith Number

pith:7HI6TM5F

pith:2010:7HI6TM5F42RJX2UTVASMMPMVBP

not attested not anchored not stored refs pending

Gradient estimates for a simple nonlinear heat equation on manifolds

Li Ma

arxiv:1009.0604 v1 · 2010-09-03 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HI6TM5F42RJX2UTVASMMPMVBP}

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	2026-05-18T04:41:25.807281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9d1e9b3a5e6a29bea93a824c63d950bcb5761ddc9843feea4b05e0c74fd92cd

Aliases

arxiv: 1009.0604 · arxiv_version: 1009.0604v1 · doi: 10.48550/arxiv.1009.0604 · pith_short_12: 7HI6TM5F42RJ · pith_short_16: 7HI6TM5F42RJX2UT · pith_short_8: 7HI6TM5F

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/7HI6TM5F42RJX2UTVASMMPMVBP \
  | 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: f9d1e9b3a5e6a29bea93a824c63d950bcb5761ddc9843feea4b05e0c74fd92cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7aa37978546a96e63d0360dc38850bbdc419fc97262e0b5f4bc33ced156fdc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-09-03T08:29:36Z",
    "title_canon_sha256": "3b4180067bc0014004f6977ef2200bd52891ed48c3b661297d53e63d16422f34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0604",
    "kind": "arxiv",
    "version": 1
  }
}