Pith Number

pith:5N5BW64E

pith:2018:5N5BW64ESIRMZEK7VZJAOCYDE7

not attested not anchored not stored refs pending

Asymptotic behaviour for the Heat Equation in Hyperbolic Space

Juan Luis V\'azquez

arxiv:1811.09034 v2 · 2018-11-22 · 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{5N5BW64ESIRMZEK7VZJAOCYDE7}

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	2026-05-17T23:54:21.984234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb7a1b7b849222cc915fae52070b0327df2ab692abbde5e6203d54d14866469e

Aliases

arxiv: 1811.09034 · arxiv_version: 1811.09034v2 · doi: 10.48550/arxiv.1811.09034 · pith_short_12: 5N5BW64ESIRM · pith_short_16: 5N5BW64ESIRMZEK7 · pith_short_8: 5N5BW64E

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/5N5BW64ESIRMZEK7VZJAOCYDE7 \
  | 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: eb7a1b7b849222cc915fae52070b0327df2ab692abbde5e6203d54d14866469e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3df5e53c9848bd0c1ff956eb192e0f1ddf7faacd80f3bc10c9b30e397d4dfa45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-22T06:42:52Z",
    "title_canon_sha256": "396b68f5123e48c08f8ba866f71d96b3404353f410256f009a07b74d3544bcde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09034",
    "kind": "arxiv",
    "version": 2
  }
}