Pith Number

pith:K67EVLN2

pith:2015:K67EVLN2YJMB6QWORLPZSMSFEG

not attested not anchored not stored refs pending

Analyticity of solutions to parabolic evolutions and applications

Can Zhang, Luis Escauriaza, Santiago Montaner

arxiv:1509.04053 v2 · 2015-09-14 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K67EVLN2YJMB6QWORLPZSMSFEG}

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	2026-05-18T00:43:18.763602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57be4aadbac2581f42ce8adf993245219f14bb7cb052400e81fd8a02396fbd71

Aliases

arxiv: 1509.04053 · arxiv_version: 1509.04053v2 · doi: 10.48550/arxiv.1509.04053 · pith_short_12: K67EVLN2YJMB · pith_short_16: K67EVLN2YJMB6QWO · pith_short_8: K67EVLN2

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/K67EVLN2YJMB6QWORLPZSMSFEG \
  | 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: 57be4aadbac2581f42ce8adf993245219f14bb7cb052400e81fd8a02396fbd71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d607d3dd115462405b6fe034ee46ccea003b01dfc3d2d1840bb2c30d8c8442ff",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-14T12:20:18Z",
    "title_canon_sha256": "bc512a76e53037aec6ca644d573ef0c49e8d64c0b9619f11050eeb3247e24fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04053",
    "kind": "arxiv",
    "version": 2
  }
}