Pith Number

pith:3WQDOBZI

pith:2013:3WQDOBZIPNHQC7ALR7EHVVNSH2

not attested not anchored not stored refs pending

Local gradient estimate for harmonic functions on Finsler manifolds

Chao Xia

arxiv:1308.3609 v2 · 2013-08-16 · math.AP · 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{3WQDOBZIPNHQC7ALR7EHVVNSH2}

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	2026-05-18T03:04:23.970579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dda03707287b4f017c0b8fc87ad5b23eb2f5e72aa6cd52caed6ce9d434ada45e

Aliases

arxiv: 1308.3609 · arxiv_version: 1308.3609v2 · doi: 10.48550/arxiv.1308.3609 · pith_short_12: 3WQDOBZIPNHQ · pith_short_16: 3WQDOBZIPNHQC7AL · pith_short_8: 3WQDOBZI

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/3WQDOBZIPNHQC7ALR7EHVVNSH2 \
  | 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: dda03707287b4f017c0b8fc87ad5b23eb2f5e72aa6cd52caed6ce9d434ada45e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aa243d3da39a2aac86fae9616e2e656dbddd74e6b4df4156fc0a7659552fee4",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-16T11:44:03Z",
    "title_canon_sha256": "62d938255b939ecc95f12dbbca358863f3920d774f638b0ea7f6edcbe6852e1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3609",
    "kind": "arxiv",
    "version": 2
  }
}