Pith Number

pith:KMFVKBAN

pith:2018:KMFVKBANQ4GARUYYEMFXBBI7PY

not attested not anchored not stored refs pending

A scaling limit from the wave map to the heat flow into $\mathbb{S}^2$

Arghir Zarnescu, Ning Jiang, Shaojun Tang, Yi-Long Luo

arxiv:1801.01256 v2 · 2018-01-04 · 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{KMFVKBANQ4GARUYYEMFXBBI7PY}

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	2026-07-05T01:21:44.664541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

530b55040d870c08d318230b70851f7e37aba8f9cd0ae9747e1743f9c1728760

Aliases

arxiv: 1801.01256 · arxiv_version: 1801.01256v2 · doi: 10.48550/arxiv.1801.01256 · pith_short_12: KMFVKBANQ4GA · pith_short_16: KMFVKBANQ4GARUYY · pith_short_8: KMFVKBAN

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/KMFVKBANQ4GARUYYEMFXBBI7PY \
  | 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: 530b55040d870c08d318230b70851f7e37aba8f9cd0ae9747e1743f9c1728760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74289a8316c7d63a5cfaf2c588c9b3330ef256efe4caa12f49fe6e68996c2aa7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-04T06:31:28Z",
    "title_canon_sha256": "bb42193d23352c9eb538a8acbec353bfe5dac0556acb01463d4e717837d5d78f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01256",
    "kind": "arxiv",
    "version": 2
  }
}