Pith Number

pith:HOJMJJC2

pith:2016:HOJMJJC2N4VW6EQXHIJRW3U7SC

not attested not anchored not stored refs pending

The Heat Kernel on Asymptotically Hyperbolic Manifolds

Andrew Hassell, Xi Chen

arxiv:1612.06044 v2 · 2016-12-19 · 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{HOJMJJC2N4VW6EQXHIJRW3U7SC}

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	2026-05-18T00:43:39.467389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b92c4a45a6f2b6f12173a131b6e9f90aeeff68d6c21bc3702129ef4ce9c7157

Aliases

arxiv: 1612.06044 · arxiv_version: 1612.06044v2 · doi: 10.48550/arxiv.1612.06044 · pith_short_12: HOJMJJC2N4VW · pith_short_16: HOJMJJC2N4VW6EQX · pith_short_8: HOJMJJC2

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/HOJMJJC2N4VW6EQXHIJRW3U7SC \
  | 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: 3b92c4a45a6f2b6f12173a131b6e9f90aeeff68d6c21bc3702129ef4ce9c7157

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bb3bf839d2785ad221fc0597c2e8034b2e15fa8593dd8c3cac14059636a4104",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-19T04:31:16Z",
    "title_canon_sha256": "b5387390c721d61a9366184a73cd7ad16de4c441019cb1fe514b4afd5d6aa5ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06044",
    "kind": "arxiv",
    "version": 2
  }
}