Pith Number

pith:OLBAXFXC

pith:2026:OLBAXFXCOKROEBM3QJG5EP7X2J

not attested not anchored not stored refs pending

Aleksandrov reflection for Geometric Flows in Hyperbolic Spaces

Aakash Mishra, Jos\'e M. Espinar, Theodora Bourni

arxiv:2602.12186 v2 · 2026-02-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLBAXFXCOKROEBM3QJG5EP7X2J}

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	2026-06-08T01:05:07.479871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72c20b96e272a2e2059b824dd23ff7d274cc65a79d6711181348fb30af56cff6

Aliases

arxiv: 2602.12186 · arxiv_version: 2602.12186v2 · doi: 10.48550/arxiv.2602.12186 · pith_short_12: OLBAXFXCOKRO · pith_short_16: OLBAXFXCOKROEBM3 · pith_short_8: OLBAXFXC

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/OLBAXFXCOKROEBM3QJG5EP7X2J \
  | 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: 72c20b96e272a2e2059b824dd23ff7d274cc65a79d6711181348fb30af56cff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fccabb7f71a10409240519d6a87659ba1b0a06aba9f970580248c9ae7649f3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-02-12T17:17:27Z",
    "title_canon_sha256": "ea5455cf49f0271116eb145980814a5f2ac6b14b11143538cca989f0d132d1f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.12186",
    "kind": "arxiv",
    "version": 2
  }
}