Pith Number

pith:EZ3OU4BY

pith:2026:EZ3OU4BYRL22D4KEB7XVTZXHX3

not attested not anchored not stored refs pending

Poincar\'e asymptotic expansion in black hole theory

Giampiero Esposito, Marco Refuto

arxiv:2606.02205 v1 · 2026-06-01 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EZ3OU4BYRL22D4KEB7XVTZXHX3}

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	2026-06-02T03:04:53.075080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2676ea70388af5a1f1440fef59e6e7becaab8e727c4acec2c80d344a6578a35f

Aliases

arxiv: 2606.02205 · arxiv_version: 2606.02205v1 · doi: 10.48550/arxiv.2606.02205 · pith_short_12: EZ3OU4BYRL22 · pith_short_16: EZ3OU4BYRL22D4KE · pith_short_8: EZ3OU4BY

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/EZ3OU4BYRL22D4KEB7XVTZXHX3 \
  | 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: 2676ea70388af5a1f1440fef59e6e7becaab8e727c4acec2c80d344a6578a35f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a73b7bc70c158a0cc25b420878a166a387dab44898f47875225c69628c6e9f31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-01T13:03:27Z",
    "title_canon_sha256": "4807460e16c4bfde33fdc825b994986e78f428ec01c24db0d482856dd6712d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02205",
    "kind": "arxiv",
    "version": 1
  }
}